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:
x (x^2+4)
Step-by-step explanation:
See the steps below:)
Answer:
<h3>The length of y is 62.82 cm.</h3>
Step-by-step explanation:
We are given a right triangle with an angle 30°.
Opposite side of angle 30° is x and adjacent side is y.
Also, given length of side x=36.25 cm.
In order to find the value of y, we need to apply tangent trigonometrical ratio.
We know,

Therefore,

Plugging values of
and x=36.25, we get

Plugging value of
in above equation, we get

On multiplying both sides by y, we get

0.577y=36.25
Dividing both sides by 0.577, we get

y=62.82
<h3>Therefore, the length of y is 62.82 cm.</h3>
What triangle? Is there one on here?
Answer:
Step-by-step explanation:
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