Question

You have two exponential functions. One function has the formula g(x)=5ˣ. The other function has the formula h(x)=5⋅x. Which option below gives the formula for k(x)=(g−h)(x)?

A) k(x)=5ˣ-5x
B) k(x)=5ˣ-x
C) k(x)=5x²
D) k(x)=5ˣ+5x
E) k(x)=5xˣ

Answer 1

The correct formula for the function k(x), which is the difference between g(x)=5^x and h(x)=5⋅x, is k(x)=5^x-5x.

Step-by-step explanation:

The student is asking for the formula of the function k(x) which is the difference between the two given exponential functions g(x) = 5^x and h(x) = 5 ⋅ x. To find k(x), we subtract the function h(x) from g(x), which is straightforward subtraction of the respective function values at any given x. So, the correct formula for k(x) is A) k(x) = 5^x - 5x.