If h(x) = 4x − 8 and j(x) = −x, solve h[j(3)] and select the correct answer below.
Asked by maham237 @ in Mathematics viewed by 316 People
If h(x) = 4x − 8 and j(x) = −x, solve h[j(3)] and select the correct answer below.
a. −36
b. −20
c. 1
d. 4
Asked by maham237 @ in Mathematics viewed by 316 People
If h(x) = 4x − 8 and j(x) = −x, solve h[j(3)] and select the correct answer below.
a. −36
b. −20
c. 1
d. 4
Answered by maham237 @
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.
Asked by maham237 @ in Mathematics viewed by 397 persons
Asked by maham237 @ in Mathematics viewed by 375 persons
Asked by maham237 @ in Mathematics viewed by 354 persons
Asked by maham237 @ in Mathematics viewed by 341 persons
Asked by maham237 @ in Mathematics viewed by 400 persons
Asked by admin @ in Math viewed by 394 persons
Asked by maham237 @ in Mathematics viewed by 338 persons
Asked by admin @ in Math viewed by 325 persons
Asked by maham237 @ in Mathematics viewed by 316 persons
Asked by maham237 @ in Mathematics viewed by 567 persons
Asked by wiki @ in Mathematics viewed by 375 persons
Asked by wiki @ in Mathematics viewed by 350 persons
Asked by maham237 @ in Mathematics viewed by 315 persons
Asked by maham237 @ in Mathematics viewed by 18363 persons
Asked by admin @ in Mathematics viewed by 8161 persons
Asked by admin @ in Mathematics viewed by 5784 persons
Asked by maham237 @ in Mathematics viewed by 3936 persons
Asked by maham237 @ in Mathematics viewed by 3254 persons
Asked by maham237 @ in Mathematics viewed by 2925 persons
Asked by maham237 @ in Mathematics viewed by 2798 persons
Asked by maham237 @ in Mathematics viewed by 2584 persons
Asked by maham237 @ in Mathematics viewed by 2481 persons
Asked by maham237 @ in Mathematics viewed by 2431 persons
Asked by maham237 @ in Mathematics viewed by 2420 persons
Asked by maham237 @ in Mathematics viewed by 2076 persons
Asked by maham237 @ in Mathematics viewed by 1794 persons