Question

Assume f(x)= -2x+8 and g(x)=3x what is the value of (gof)(3)

a. x+8
b. 23
c. -10
d. 6

Answer 1

Explanation:

6

Answer 2

d. 6

EXPLANATION

The given functions are

`f(x) = - 2x + 8`

and

`g(x) = 3x`

We find

`(g \circ f)(x) = g(f(x))`

`(g \circ f)(x) = g( - 2x + 8)`

`(g \circ f)(x) = 3( - 2x + 8)`

`(g \circ f)(x) = - 6x + 24`

We now substitute x=3

`(g \circ f)(3) = - 6(3) + 24`

This gives us

`(g \circ f)(x) = - 18 + 24`

`(g \circ f)(3) = 6`

The correct choice is D.