Question

Given the definitions of f(x) and g(x) below, find the value of g(f(2)).

f(x) = -2x + 4
g(x) = 2x - 1

Answer 1

To find g(f(2)), calculate f(2) as -2(2) + 4 which equals 0. Then, plug 0 into g(x) to get 2(0) - 1 which simplifies to g(f(2)) = -1.

Step-by-step explanation:

To find the value of g(f(2)), we will first evaluate f(2) by plugging 2 into the function f(x). So, f(2) equals to -2(2) + 4. After calculating this, we get f(2) = -4 + 4, which simplifies to f(2) = 0.

Next, we will find g(f(2)) by plugging the value we just found for f(2) into g(x). This means we compute g(0), which is 2(0) - 1. After doing this calculation, we get g(0) = -1. Therefore, the value of g(f(2)) is -1.