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:
90x
Step-by-step explanation:
Answer:
a^2 - 25
Step-by-step explanation:
5(a-5) turns into 5a - 25
a(a-5) turns into a^2 - 5a
added together, it's a^2 - 25
Answer:
A prime number has exactly two factors, 1 and itself. For example, 13 is a prime number because the only factors of 13 are 1 and 13
<em>if this is what you are looking for..</em>
Answer:
The answer to your question is 3
Step-by-step explanation:
Expression
3⁴ + 9² / 3³ - 9²
1.- Do the division
3⁴ + (9² / 3³) - 9²
Use law of exponents
3⁴ + (3⁴ / 3³) - 9²
3⁴ + 3⁴⁻³ - 9²
Simplify
3⁴ + 3 - 9²
2.- Convert 9² to base 3
3⁴ + 3 - 3⁴
3.- Simplify (associative property)
( 3⁴ - 3⁴ ) + 3
4.- Result
3