Question

50 POINTS Let f(x) = 3x + 5 and g(x) = -4x + 7. Find. fog (-4)

Answer 1

74

Explanation:

Answer 2

74

Explanation:

We have f(x) = 3x + 5 and g(x) =-4x + 7

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

`(f \circ \: g)(x) = f( - 4x + 7)`

`(f \circ \: g)(x)= 3( - 4x + 7) + 5`

`(f \circ \: g)(x) = -12x + 21+5`

`(f \circ \: g)(x) = -12x + 26`

We now substitute x=-4 to obtain:

`(f \circ \: g)( - 4) = -12 * - 4+ 21+ 5`

`(f \circ \: g)( - 4) = 48+ 26 = 74`

The required value is 74