Question

Determine function g such that h(x) = f(g(x)).
h(x) = x^8 + 8

f(x) = x + 8
g(x)= ?

Answer 1

alrighty so we know that our f(x)=x+8

Answer 2

ill let akitav take over

Answer 3

ok..

Answer 4

It is given that for x, f(x) = x+8, so f(g(x))= g(x) +8.
Since,h(x)=f(g(x))
Put the value of h(x) and f(g(x)) here\[x^8+8 = g(x) +8\]Now solve for g(x) as you would any ordinary equation for one variable, and you'd have the expression for g(x).

Answer 5

so ist it x^8+0 or x^8?

Answer 6

correct\[g(x)=x^8\]

Answer 7

Thanks!

Answer 8

You are welcome :)