Answer:
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Step-by-step explanation:
Given
Given that the function f(x) and g(x) are inverse functions.


To determine
Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
<u>Determining the inverse function of f(x) </u>
A function g is the inverse function of f if for y = f(x), x = g(y)

Replace x with y

Solve for y

Therefore,
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Answer:
C
Step-by-step explanation:
x 105,000,000 = 16,800,000
Answer:
64
Step-by-step explanation:
The area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet
<h3>Area of a rectangle</h3>
Givene the dimensiion of Philip and Laura's pool as:
Length = (x - 5)
Width = (3x + 2)
Given the area expressed as:
f(x) = (x - 5)(3x + 2)feet
Taking the product will give:
f(x) = 3x^2 + 2x -15x - 10
f(x) = 3x^2 - 13x - 10
Hence the area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet
Learn more on area of rectangle here: brainly.com/question/25292087