Please help, need to find f^-1 (x)

The inverse function is such that

Plugging into gives us

Solve for :

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.