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Jake earns $7.50 per hour working at a local car wash. The function, ƒ(x) = 7.50x, relates the amount Jake earns to the number of hours he works. Write the inverse of this relation

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HomertheGenius
The function is: f ( x ) = 7.50 x,
where x is the number of hours that Jake works.
f ( x ) = y
y = 7.50 x
x = y / 7.50
Answer:
The inverse is:
y = x / 7.50
carlosego

For this case we have the following function:

[tex] f(x) = 7.50x
[/tex]

An equivalent way to write this function is:

[tex] y = 7.50x
[/tex]

From here, we clear the value of x.

We have then:

[tex] x = \frac{y}{7.50}
[/tex]

Returning the variables we have that the inverse of the function is:

[tex] f (x) ^ - 1 =\frac{x}{7.50}
[/tex]

Answer:

the inverse of this relation is:

[tex] f (x) ^ - 1 =\frac{x}{7.50}
[/tex]

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