Question

if f(x)=x squared + 4 and g(x)=$\sqrt{1 - } x$find the value of f (g(-3))answer choices a) 13B) 8 C) 2 d) 2i square root of 3 e) 13 i square root of 2

Answer 1

b)8

Explanation

$\begin{gathered} f(x)=x^2+4 \\ g(x)=\sqrt[]{1-x} \end{gathered}$

Step 1

find g(-3)

$\begin{gathered} g(x)=\sqrt[]{1-x} \\ g(-3)=\sqrt[]{1-(-3)} \\ g(-3)=\sqrt[]{4} \\ g(-3)=\pm2 \end{gathered}$

Step 2

find f(g(-3))

$\begin{gathered} f(x)=x^2+4 \\ f(g(-3))=\pm2^2+4 \\ f(g(-3))=4+4 \\ f(g(-3))=8 \end{gathered}$

I hope this helps you