Question

Sandra is renting a car. She will pay a flat fee of $100 and she will also pay for each mile driven over 200 miles. The total amount she can expect to pay, in dollars can be represented by the function f(x) = 1.5x + 100, where x is the number of miles driven over 200. What is the inverse of this function? F-BF.4c

Group of answer choices

Answer 1

Answer:
The inverse of a function is the reflection of a function over the line y=x. Therefore, this will reflect the function over the line of symmetry.

As the line of symmetry in this case is the x-axis, the inverse function can be found by switching the x and y values.

So we have f(x) = 1.5x + 100, and the inverse function is therefore y=1.5x+100

Please let me know if this helps. :)