The functions f(x) and g(x) are defined below. f(x)=x^(4) -2x^(2) +2 g(x)=√(x+2\\) What is f(g(-6))?

Question

The functions f(x) and g(x) are defined below.

f(x)=
`x^(4) -2x^(2) +2`
g(x)=
`√(x+2\\)`

What is f(g(-6))?

Answer 1

So you do g of x first which is root of -4 and then sub that into f of x to get root minus 4 to the power of 4 - 2 root -4 squared + 2 which is the same as (((-4)^1/2)^2) - 4 times -4 + 2 which is the same as -4^2+16 +2 which is the same as 16+16+2 which is 34. Hope this helps :)