Question

If f(x)=2x−1, show that f(f(x))=4x−3. Find f(f(f(x))).

Answer 1

Answer: f(f(f(x)))=8x-7

Explanation:

Since we were given f(x) and f(f(x)), We plug that into f(x) again to get f(f(f(x))).

2(4x-3)-1 [distribute]

8x-6-1 [combine like terms]

8x-7