Question

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

Answer 1

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

Answer 2

For this case we have the following function:

$f(x) = 7.50x$

An equivalent way to write this function is:

$y = 7.50x$

From here, we clear the value of x.

We have then:

$x = \frac{y}{7.50}$

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

$f (x) ^ - 1 =\frac{x}{7.50}$

Answer:

the inverse of this relation is:

$f (x) ^ - 1 =\frac{x}{7.50}$