Question

Using the following equations,

find g(f(x)):
f(x) = x + 1
g(x) = 2x
g(f(x)) = 2x + [?]

Answer 1

To find g(f(x)), we substitute f(x) into g(x), which gives us g(f(x)) = 2 * (x + 1). Simplifying this expression, the final result is g(f(x)) = 2x + 2.

Step-by-step explanation:

The question asks us to find g(f(x)) given two functions f(x) = x + 1 and g(x) = 2x. To find g(f(x)), we substitute the first function into the second function, where x in g(x) is replaced by f(x).

Here is the step-by-step process:

1. Write down the function f(x): f(x) = x + 1.
2. Write down the function g(x): g(x) = 2x.
3. Substitute f(x) into g(x): g(f(x)) = 2 * (x + 1).
4. Simplify the expression: g(f(x)) = 2x + 2.

Therefore, g(f(x)) = 2x + 2.