Answer:
Option (b) is correct.
h[j(3)] = -20
Step-by-step explanation:
Given : h(x) = 4x − 8 and j(x) = −x
We have to solve for h[j(3)] and choose the correct option from given options.
Function composition is when one function is inside of another function and we evaluate the value of a function by plug one into into another function.
Consider , the given functions h(x) = 4x − 8 and j(x) = −x
h[j(3)] is defined as h[j(x)] at x = 3
First we find h[j(x)] and then substitute x = 3 .
h[j(x)] = h(-x)
Thus, find h(x) when x = -x
We get , h(-x) = 4(-x) − 8
Now put x = 3, we get,
h[j(3)]=h[-3] = 4(-3) - 8 = -12 - 8 = -20
Thus, h[j(3)] = -20
Option (b) is correct.
