If f(x) = 2x + 8 and h(x) = 2x2 + 2x + 6, find a function g such that f g = h.
I thought I had a handle on these questions until I got to this one. I have an answer but I am 95% sure it isnt right.
Like I said I am pretty sure its not right.
Its a function f(g(x))=h correct? So you take the function of g, which in this case we found to be x^2+x-1 and plug that into the x values of f(x).
Doing so will give you 2(x^2+x-1)+8.
Factoring out will give you 2x^2+2x-2+8, add like terms and you will come to h, which is 2x^2+2x+6!