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if f(x)=x squared + 4 and g(x)=[tex] \sqrt{1 - } x[/tex]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

if fxx squared 4 and gxtex sqrt1 xtexfind the value of f g3answer choices a 13B 8 C 2 d 2i square root of 3 e 13 i square root of 2 class=

Respuesta :

b)8

Explanation

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

Step 1

find g(-3)

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

Step 2

find f(g(-3))

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

I hope this helps you

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