Question

Find f(gx) for the given functions: f(x) = 2x and g(x) = x + 5.

A) f(gx) = 2x + 5
B) f(gx) = 2x - 5
C) f(gx) = 2x² + 5
D) f(gx) = 2x² - 5

Answer 1

To find f(gx), substitute gx into the function f(x) = 2x and simplify.

Step-by-step explanation:

To find f(gx), we first substitute gx into the function f(x) = 2x. This gives us f(gx) = 2(gx). Next, we substitute the function g(x) = x + 5 into gx, obtaining gx = x + 5. Finally, we substitute this result into f(gx), which gives us f(gx) = 2(x + 5).

Expanding the expression, we get f(gx) = 2x + 10. Therefore, option A) f(gx) = 2x + 5 is incorrect. The correct answer is A) f(gx) = 2x + 10.