Question

Consider the functions given by f(x)=2x and g(x)=x + 3. Find the composition:f(g(x)) a.f(g(x))=2x+6 b.f(g(x))=2(x-3) c.f(g(x))=2x+3 d.f(g(x))=2x-3

Answer 1

a. f(g(x)) = 2x + 6

Step-by-step explanation

In the composition f(g(x)) we just have to replace every x in function f(x) by the function g(x):

`f(g(x))=2g(x)=2(x+3)=2x+2\cdot3=2x+6`

Therefore the answer is option a. 2x + 6