Question

Given the definitions of f(x) and g(x) below, find the value of f(g(5)).

N
f(x) = 2x² + 7x + 4
g(2) -x+ 5

Answer 1

To find the value of f(g(5)), substitute the value of g(5) into the function f(x) and perform the calculations.

Step-by-step explanation:

To find the value of f(g(5)), we need to substitute the value of g(5) into the function f(x). First, let's find g(5). Given that g(x) = 2x - 5, we can find g(5) by substituting x with 5: g(5) = 2(5) - 5 = 10 - 5 = 5.

Now that we have g(5) = 5, we can substitute this value into f(x) = 2x² + 7x + 4: f(g(5)) = 2(5)² + 7(5) + 4 = 2(25) + 35 + 4 = 50 + 35 + 4 = 89.

Therefore, the value of f(g(5)) is 89.