Question

Consider the functions f(x) = x2 − 13 and g(x) = x + 5. What is the value of f[g(−4)]?

−12

3

−13

8

Answer 1

\(\LARGE\color{orangered}{ f(x) = x^2 − 13 }\)

\(\LARGE\color{orangered}{ g(x) = x + 5 }\)

\(\LARGE\color{orangered}{ f(g(x))= (x+5)^2 − 13 }\)

\(\LARGE\color{orangered}{ f(g(x))=x^2+10x+25 − 13 }\)

\(\LARGE\color{orangered}{ f(g(x))=x^2+10x+12 }\)

\(\LARGE\color{orangered}{ f(g(-4))=(-4)^2+10(-4)+12 }\)

\(\LARGE\color{orangered}{ f(g(-4))=16-40+12 }\)

\(\LARGE\color{orangered}{ f(g(-4))=-14 }\)