Question

Given the function f and g find g(f(0)
f(x)=-4x-1
g(x)=6x+4

Answer 1

To find g(f(0)), we first evaluate f(0), which is -1, and then input that into g(x) to get g(-1) which equals -2. Therefore, g(f(0)) is -2.

Step-by-step explanation:

The question is asking us to find the composition of two functions, specifically to evaluate g(f(0)) where f(x) = -4x - 1 and g(x) = 6x + 4. To do this, we first need to find the value of f(0), which we do by substituting 0 for x in the function f, and then use that value as the input for the function g.

Let's calculate it step by step:

1. Find f(0) by substituting 0 into the function f:
2. f(0) = -4(0) - 1 = -1.

1. Now we take that result and use it as the input for g, meaning we calculate g(-1):
2. g(-1) = 6(-1) + 4 = -6 + 4 = -2.

Therefore, the result of g(f(0)) is -2.