Answer: 2) 14
Step-by-step explanation:
This is a composite function. This asks us to evaluate h(x) at three and substitute it into g(x) for x.
Given:
(g⋅h)(3)
Substitute:
3(3(3) – 5) + 2
Multiply:
3(9 – 5) + 2
Subtract:
3(4) + 2
Multiply:
12 + 2
Add:
14
2) 14
To find (g⋅h)(3), substitute the value of x into the composite function g(h(x)). The result is 14.
To find (g⋅h)(3), we need to substitute the value of x into the composite function g(h(x)).
First, let's find h(3):
h(x) = 3x - 5
h(3) = 3(3) - 5 = 4
Now, substitute the value of h(3) into g(x):
g(x) = 3x + 2
g(h(3)) = 3(4) + 2 = 14
Therefore, (g⋅h)(3) = 14
