## anonymous one year ago f(x) = x^2 + 3; g(x) = Square root of x-2 Find f(g(x)). please help

1. anonymous

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

2. anonymous

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

3. anonymous

thank you Nishant_Garg for helping me :)

4. anonymous

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

5. anonymous

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

6. anonymous

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

7. anonymous

$(\sqrt{x-2})^{2}$

8. anonymous

yep! and add 3 to that

9. anonymous

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

10. anonymous

x+1?

11. anonymous

yep

12. anonymous

thank you!