Question

Find the composition of the function f(g(x))

f(x)=2x+2;g(x)=x/2-1

Answer 1

Explanation:

To find the composition of f(g(x)), we need to substitute g(x) into f(x) wherever we see x.

So, we have:

f(g(x)) = 2(g(x)) + 2

And we know that g(x) is equal to (x/2 - 1), so we can substitute that in:

f(g(x)) = 2((x/2 - 1)) + 2

Simplifying, we get:

f(g(x)) = x - 2

Therefore, the composition of f(g(x)) is x - 2.