Question

Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3.

Answer 1

Answer with Step-by-step explanation:

We are given that:

f(x) = 2x + 1 and g(x) = −5x + 2

We have to find f(g(x))

f(g(x))= f(-5x+2)

        = 2(-5x+2) +1

        = -10x+4+1

        = -10x+5

When, x=3

f(g(3))= -10×3+5

        = -30+5

       = -25

Hence, value of f(g(x)) when x=3 is:

-25

Answer 2

The first step in solving for f(g(x)) when x=3, is solve for g(x). The answer of g(x) when x is equal to 3 is -(5) multiplied by 3 add by 2. Therefore, g(x) is -13. Then substitute the value of g(x) to f(x). The answer of f(-13) is 2 multiplied by -13, then add 1. So, the final answer is, f(x)=-25.