Question

Consider functions f and g.

f(x) = |2x + 9|
g(x)
-4
2
4
2
-2
OA. 5
OB. -1
C. -5
ta
D. 0
2
g
What is the value of g(f(-5))?
4
X

Answer 1

To find g(f(-5)), first calculate f(-5) to get 1, and then find g(1), which from given data is 5.

Step-by-step explanation:

The student is asking to find the value of the composite function g(f(-5)). This requires two steps: first, we find the output of the function f when x is -5, and then we use this output as the input for the function g.

Let's start with the function f(x) = |2x + 9|. We substitute x with -5:

f(-5) = |2(-5) + 9| = |-10 + 9| = |-1| = 1

Now, we need to find the value of g(1). The function g is not explicitly given, but assuming that the tabulated values correspond to g(x) such that g(1) equals 5, we can say that:

g(f(-5)) = g(1) = 5.