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:
$-21
Step-by-step explanation:
Since she is paying $6 for 4 weeks, in total she will pay:
6 x 4 = $24
She has an initial balance of $-45 Because she is in debt
Therefore you just need to add it all up
-45 + 24 = $-21
Answer:
94°
Step-by-step explanation:
it is a similar triangle and corresponding angles of similar triangles are equal. and interior angles of triangles always equal to 180°
You are given the amount of water a Clydesdale drinks in 4 days, but because you want 28 days, you need to multiply that value by something. You find what you need to multiply it by, by dividing 28 by 4, which gives you 7. Now, you can do 120 × 7 = (100 × 7) + (20 × 7) = 840 gallons of water. I hope this helps!
Answer:
1. -72
2. -64
Step-by-step explanation:
it is increasing by 4 so,
-76, -72, -68, -64, -60, -56.