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If $\mathrm{f}=\{(x, y) : y=5 x\}$ is a direct variation function, find $\mathrm{f}^{-1}$

$f^{-}=\left\{(x, y) : y=\frac{x}{5}\right\}$

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 8

Inverse Functions

An Introduction to Geometry

Functions

Linear Functions

Polynomials

Oregon State University

Baylor University

University of Michigan - Ann Arbor

Lectures

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what? Here's a direct variation problem. And here's a reminder of the direct variation equation from section 5.2 and were given a particular ordered pair when X is one wise five. And so typically how we start is we use that information to find the value of K, and then we can write our specific equation, the equation that's specific to this situation. Okay, so we're going to use why equals K Times X and will substitute five in for why and one in for X. And so we have five equals K times one. So that tells us that Kay is five. So are specific variation equation Direct variation equation for this situation is why equals five X. Now we want to know what is why when x is 10. So we'll go ahead and substitute the 10 and they're for X. Why is five times 10 So why will be 50

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