Question

Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (fxg)(-5).

a. -59
b. 3
c. 26
d. -6

Answer 1

78

Explanation:

The given functions are:

`f(x) = - 2x - 7`

and

`g(x) = - 4x + 6`

`(f * g)(x) = f(x) * g(x)`

`(f * g)(x) = ( - 2x - 7)( - 4x + 6)`

When we plug in x=-5, we get:

`(f * g)( - 5) = ( - 4 * - 5 + 6)( - 2 * - 5 - 7)`

`(f * g)( - 5) = ( 20 + 6)( 10 - 7)`

`(f * g)(5) = ( 26)( 3) =7 8`