Question

Using f(x) = 2x + 7 and g(x) = x - 3, find f(g(x)).

2x + 1
2x + 4
X + 4
2x^2 + x - 21

Answer 1

2x + 1

Explanation:

To find f(g(x)), we need to substitute g(x) for x in the function f(x) = 2x + 7.

so f(g(x)) = 2(x - 3) + 7 = 2x - 6 + 7 = 2x + 1

So the composition of function f(g(x)) is f(g(x)) = 2x + 1.