Faith is given to Gods elect because eternal life is only promised to them. See Eternal life isnt offered, its an promised inheritance to a particular seed, the seed of Abraham Gal 3:16-18
Eternal life is promised to all who believe
John 3:15 (LEB) — 15 so that everyone who believes in him will have eternal life.”
John 3:16 (LEB) — 16 For in this way God loved the world, so that he gave his one and only Son, in order that everyone who believes in him will not perish, but will have eternal life.
John 3:36 (LEB) — 36 The one who believes in the Son has eternal life, but the one who disobeys the Son will not see life—but the wrath of God remains on him.
John 5:24 (LEB) — 24 Truly, truly I say to you that the one who hears my word and who believes the one who sent me has eternal life, and does not come into judgment, but has passed from death into life.
John 6:40 (LEB) — 40 For this is the will of my Father, that everyone who looks at the Son and believes in him would have eternal life, and I will raise him up on the last day.”
John 17:3 (LEB) — 3 Now this is eternal life: that they know you, the only true God, and Jesus Christ, whom you have sent.
16 Now to Abraham and his seed were the promises made. He saith not, And to seeds, as of many; but as of one, And to thy seed, which is Christ.
17 And this I say, that the covenant, that was confirmed before of God in Christ, the law, which was four hundred and thirty years after, cannot disannul, that it should make the promise of none effect.
18 For if the inheritance be of the law, it is no more of promise: but God gave it to Abraham by promise.
The inheritance here is eternal life in the New Heavenly world,
Its only for heirs Heb 9:15
15 And for this cause he is the mediator of the new testament, that by means of death, for the redemption of the transgressions that were under the first testament, they which are called might receive the promise of eternal inheritance.
And who are the heirs and/or descendants of Abraham
See here
Genesis 17:7 (NIV84) — 7 I will establish my covenant as an
everlasting covenant between me and you and your descendants after you for the generations to come, to be your God and
the God of your descendants after you.
Galatians 3:29 (LEB) — 29 And if you are Christ’s, then
you are descendants of Abraham, heirs according to the promise.
Romans 4:16–17 (LEB) — 16 Because of this, it is by faith, in order that it may be according to grace, so
that the promise may be secure to all the descendants, not only to those of the law, but also to those of the faith of Abraham, who is the father of us all 17 (just as it is written, “I have made you the father of many nations”) before God, in whom he believed, the one who makes the dead alive and who calls the things that are not as though they are,
Genesis 17:3–5 (LEB) — 3 Then Abram fell upon his face and God spoke with him, saying,
4 “As for me, behold, my covenant shall be with you, and
you shall be the father of a multitude of nations.
5 Your name shall no longer be called Abram, but your name shall be Abraham, for I will make you
the father of a multitude of nations.
Genesis 12:1–3 (LEB) — 1 And Yahweh said to Abram, “Go out from your land and from your relatives, and from the house of your father, to the land that I will show you.
2 And I will make you a great nation, and I will bless you, and I will make your name great. And you will be a blessing.
3 And I will bless those who bless you, and those who curse you I will curse. And
all families of the earth will be blessed in you.”
Gal 3:8And the scripture, foreseeing that God would justify the Gentiles by faith, proclaimed the good news in advance to Abraham: “
In you all the nations will be blessed.”
Acts 3:25 (LEB) — 25 You are the sons of the prophets and of the covenant that God ordained with your fathers, saying to Abraham, ‘
And in your offspring all the nations of the earth will be blessed.’
Romans 4:11–13 (LEB) — 11 And he received the sign of circumcision as a seal of the righteousness by faith which he had while uncircumcised, so that he could be the father of all who believe although they are uncircumcised, so that righteousness could be credited to them, 12 and the father of those who are circumcised to those who are not only from the circumcision, but who also follow in the footsteps of the faith of our father Abraham which he had while uncircumcised. 13 For the promise to Abraham or to his descendants, that he would be heir of the world, was not through the law, but through the righteousness by faith.
Gen 18:18Abraham will surely become a great and strong nation, and all the nations of the earth will be blessed on account of him.
Gen 26:3–4Dwell as an alien in this land, and I will be with you, and will bless you, for I will give all these lands to you and to your descendants, and I will establish the oath that I swore to Abraham your father. And I will multiply your descendants like the stars of heaven, and I will give to your descendants all these lands. And all nations of the earth will be blessed through your offspring,
Gen 28:13–14And behold, Yahweh
was standing beside him, and he said, “I
am Yahweh, the God of Abraham your father, and the God of Isaac. The ground on which you
were sleeping I will give to you and to your descendants. Your descendants shall be like the dust of the earth, and you will spread out to the west, and to the east, and to the north and to the south. And all the families of the earth will be blessed through you and through your descendants.
Thats Eternal life, a Promise Titus 1:1-2
Paul, a servant of God, and an apostle of Jesus Christ, according to the faith of God's elect, and the acknowledging of the truth which is after godliness;
2 In hope of eternal life, which God, that cannot lie, promised before the world began;
Titus 1:1–2 (LEB) — 1 Paul, a slave of God and an apostle of Jesus Christ
for the faith of the chosen of God and the knowledge of the truth that is according to godliness, 2 in the hope of eternal life which God, who does not lie, promised before eternal ages,
Titus 1:1–2 (UASV) — 1 Paul, a slave of God and an apostle of Jesus Christ
for the faith of the chosen of God and the accurate knowledge of the truth that is according to godliness, 2 in the hope of eternal life, which God, who cannot lie, promised before times eternal,
Titus 1:1–2 (ESV) — 1 Paul, a servant of God and an apostle of Jesus Christ,
for the sake of the faith of God’s elect and their knowledge of the truth, which accords with godliness, 2 in hope of eternal life, which God, who never lies, promised before the ages began
Titus 1:1–2 (NIV84) — 1 Paul, a servant of God and an apostle of Jesus Christ
for the faith of God’s elect and the knowledge of the truth that leads to godliness— 2 a faith and knowledge resting on the hope of eternal life, which God, who does not lie, promised before the beginning of time,
Titus 1:1–2 (LSB) — 1 Paul, a slave of God and an apostle of Jesus Christ,
for the faith of God’s elect and the full knowledge of the truth which is according to godliness, 2 in the hope of eternal life, which the God who cannot lie promised from all eternity,
Nowhere is there any mention of unconditional election to salvation.
And yet another possibility
God gave those that were his to Christ
John 17:6 (LEB) — 6 “I have revealed your name to the men whom you gave me out of the world.
They were yours, and you have given them to me, and they have kept your word.
They would be the chosen God would give to Christ.
Paul, an apostle whose preaching God used to bring these into the faith of Christ.
There is simply nothing defining the chosen as men who were unconditionally predestined to faith before the foundation of the earth.