Question

7. Let f(x)=4x+7 and g(x)=3x-5. Find (g o f )(-4) A. -61 B. -32 C. -9 D. -64

Answer 1

G( f(-4) )
f(-4) = -16 +7= -9
g(-9) = (3*-9)-5 = -32

Answer 2

Answer:

The answer is the option B $-32$

Step-by-step explanation:

we have

$f(x)=4x+7$

$g(x)=3x-5$

we know that

$(gof)(x)=g(f(x))$

substitute

$g(f(x))=3(4x+7)-5$

$g(f(x))=12x+21-5$

$g(f(x))=12x+16$

Find $g(f(-4))$

Substitute the value of $x=-4$ in the equation

$g(f(-4))=12(-4)+16$

$g(f(-4))=-32$