Question

Let f(x) = 2x - 4. Find and simplify f(f(x)) if f(x) = x + 3.

Options:
A) 2x - 1
B) 4x + 2
C) 4x - 5
D) 2x + 2

Answer 1

To find and simplify f(f(x)), substitute f(x) into f(f(x)), resulting in 2x + 2.

Step-by-step explanation:

To find and simplify f(f(x)), we need to substitute f(x) = x + 3 into f(f(x)).

So, f(f(x)) = f(x + 3)

Using f(x) = 2x - 4, we can substitute x + 3 into f(x). This gives us:

f(f(x)) = 2(x + 3) - 4

= 2x + 6 - 4

= 2x + 2

Therefore, the correct option is D) 2x + 2.