Question

Pre-Calc question

if f(x) = x2 + 3
and g(x) = √(x-2)
what is f(g(x))?

Answer 1

g(x)= sqrt{x-2}
so to find f(g(x)) you should substitute x for sqrt{x-2} into f(x) function

Answer 2

\[\huge\rm f(\color{ReD}{\sqrt{x-2}})=\color{Red}{x}^2+3\]
replace x with sqrt{x-2}

Answer 3

So it would be √(x-2)^2 + 3?

Answer 4

and the square root, and ^2 would cancel eachother out making it x-2+3

Answer 5

hm right sqrt should be inside the parentheses (√(x-2))^2+3

Answer 6

yes right!

Answer 7

so my final answer would be x+1

Answer 8

perfect!

Answer 9

Thanks so much

Answer 10

np :=) good job!