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On a particular day, the function that converts American dollars, $x,$ to Indian rupees, $f(x),$ is$\mathrm{f}(x)=0.2532 x .$ Find the inverse function that converts rupees to dollars. Verify that thefunctions are inverses.

$g(x)=\frac{1}{0.2532} x$

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 8

Inverse Functions

An Introduction to Geometry

Functions

Linear Functions

Polynomials

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if it is probably have a function at the vex equals zero point. Do you know, fix that up real quick. 0.25 32 x And we're trying to find the inverse about function. So it's do this and blue start off with. Just write this as why equals 0.25 32 x kind of keep it simple. Switch up the X and y so we can sell for the inverse. Now we want to isolate what So each up To divide the right side by two point My 0.253 to anything we do to the right, we have to do the left. 25 32 Siri, end up with y equals X over 0.253 to that right there is going to be our final answer for the inverse that function. But the problem also asked us to verify that. So here we have this kind of right out our functions one more time. So we have f of X equals zero plane too. 532 eggs and death in bursts of X equals point too far. Oh, sorry. Should be x over 0.25 32 Now, in order to kind of verify this, what we can do is we have to plug one of these functions into the other, and then we should end up with just X. And that means that the function is an inverse of the other. So we take aftereffects and we plug in s negative one of X. What is that gonna look like? That's basically gonna be So we have at this function f of X and in place of this X, we want to plug in this whole function. So that's gonna be 0.25 32 times X. In this case, X is X over 0.25 32 And, you know, just for simplicity sake, let's mold make this the multiplication side. Now we kind of multiple this out. Theseus, cancel and we're left with just X, which means that and basically it is of as the inverse of X, you're left with just X. So this kind of has used to verify that

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