Doubts in Functions

Question

Use two of the functions f(x), g(x) and h(x) to find the composite function which is equal to 2^(x+1) -1

Answer 1

Greetings! Lets solve this shall we!?

We must take the given function and break it down into the functions f(x), g(x) and h(x).

Notice the (x+1) as the exponent in the function. Let the second function be g(x) = (x-1) where the parent function is f(x) = 2^x - 1.

We then let h(x) be the composite function f[g(x)] such that h(x) = f[g(x)]. Then,

h(x) = f[g(x)] = 2^(x+1) - 1.

I hope this helps!