Question

consider the functions f(x)=x^2-13and g(x)=x+5. what is the value of f[g(-4)] ?

Answer 1

first find g(-4):

$g(-4)=x+5=-4+5=1$

then, f (g(-4)):

$f(g(-4))=f(1)$

therefore

$f(1)=x^2-13=1^2-13=1-13=-12$

answer: - 12