Question

f(x) = x^2 + 3; g(x) = Square root of x-2

Find f(g(x)).
please help

Answer 1

\[f(x)=x^2+3\]
\[g(x)=\sqrt{x-2}\]
plug in g(x) in f(x)
\[f(g(x))=fog(x)=(g(x))^2+3\]

Answer 2

put the value of g(x) in the equation and simplify

Answer 3

thank you Nishant_Garg for helping me :)

Answer 4

(g(x))2+3 = (\[\sqrt{x-2}\](x))2+3)

Answer 5

you have to square g(x) and add 3 to it according to f(x)

Answer 6

\[(g(x))^2=(\sqrt{x-2})^2\]

Answer 7

\[(\sqrt{x-2})^{2}\]

Answer 8

yep! and add 3 to that

Answer 9

\[(\sqrt{x-2)}^{2}+3\]

Answer 10

x+1?

Answer 11

yep

Answer 12

thank you!