Question

*Composition of Functions*

f(x)=x^2 g(x) = sqrt(x-2)

what is g o f(x) and g o g(x)?????

Answer 1

gof(x)= sqrt( x^2-2)

Answer 2

gog(x) = sqrt{( sqrt(x-2)-2}

Answer 3

I know g o f(x) = \[\sqrt{x^2-2}\] and then the -2 you can just rewrite as \[i \sqrt{2?}\] and pull out the x or no?

Answer 4

you can't pull out x

Answer 5

ah okay I thought for some reason you could since it is being squared within a square root sign

Answer 6

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

Answer 7

that is not possible

Answer 8

0.0 yikes....how about the first one, what would my domain be? wolfram alpha saying it would be x >= -2

Answer 9

sqrt(-2)**

Answer 10

in first case domain must b greater or equal to 2