Answer:
The answer is the option B [tex]-32[/tex]
Step-by-step explanation:
we have
[tex]f(x)=4x+7[/tex]
[tex]g(x)=3x-5[/tex]
we know that
[tex](gof)(x)=g(f(x))[/tex]
substitute
[tex]g(f(x))=3(4x+7)-5[/tex]
[tex]g(f(x))=12x+21-5[/tex]
[tex]g(f(x))=12x+16[/tex]
Find [tex]g(f(-4))[/tex]
Substitute the value of [tex]x=-4[/tex] in the equation
[tex]g(f(-4))=12(-4)+16[/tex]
[tex]g(f(-4))=-32[/tex]
