You can be confident that God will do His good work in you when you put your faith in His Son Jesus Christ!

how much more shall the blood of Christ, who through the eternal Spirit offered Himself without spot to God, purge your conscience from dead works to serve the living God?
  Hebrews 9:14 (NKJV)
being confident of this very thing,that He who has begun a good work in you will complete it until the day of Jesus Christ;   Philippians 1:6 (NKJV)
for it is God who works in you both to will and to do for His good pleasure.
  Philippians 2:13 (NKJV)
and be found in Him, not having my own righteousness, which is from the law, but that which is through faith in Christ, the righteousness which is from God by faith;   Philippians 3:9 (NKJV)
I can do all things through Christ who strengthens me.   Philippians 4:13 (NKJV)