Find 2 functions f and g such that h(x)=[fog](x).

Question

Neither function may be the identity function f(x)=x.

h(x)=√(4x+2) +7

Can someone give me a step by step explanation because it is kind of confusing and complex to understand, thank you

Answer 1

f(x) = x+7

g(x) = sqrt(4x+2)

THink of it like this...

If you choose a value of x, like x=0, which part do you plug into first...????

it is 4x+2, then you take the square root, so that is the tail function sqrt(4x+2)

the BASE function has to be x+7

so when you compose them you get sqrt(4x+2) + 7