Question

Given that f(x)= 2x-3 and g(x)=2x, write a function that represents g(f(x)). show your work.

Answer 1

To find the function that represents g(f(x)), substitute f(x) into g(x) by replacing x with 2x - 3. The resulting function is 4x - 6.

Step-by-step explanation:

To find the function that represents g(f(x)), we need to substitute f(x) into the function g(x).

Since f(x) = 2x - 3, substitute f(x) into g(x) as follows:

g(f(x)) = g(2x - 3) = 2(2x - 3) = 4x - 6