on-a-particular-day-the-function-that-converts-american-dollars-x-to-indian-rupees-fx-is-mathrmfx025

Question

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 the
functions are inverses.

Aryan Malesha · Accepted Answer

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&#x27;re trying to find the inverse about function. So it&#x27;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&#x27;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&#x27;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&#x27;s mold make this the multiplication side. Now we kind of multiple this out. Theseus, cancel and we&#x27;re left with just X, which means that and basically it is of as the inverse of X, you&#x27;re left with just X. So this kind of has used to verify that

James Kiss · Answer

way have the function after backs equals negative acts. We want to find the inverse replace f of X with y interchange axe and lied in Seoul for Why divide both sides by negative one know Michael&#x27;s negative X meaning f inverse of access equal to negative X.

Ankit Gupta · Answer

so first find F r d X, which is f all in t X now bless exit DX. So this is minus indeed x buh bar fight. So which means my DX is arrested The GX this is the right lobe chips on. This is minus 50 route off extra bar fight. So this gives minus minus minus Pless. And and this is so finally Decision X no fine Jeep off epics. The GOP FX is in tee off epics and which is a weirdo minus 50 off a minus extra fight. So this is minus minus X. This is X, so find fl gxe people G off FX both article X that for f and N T R in Worth.

Sujit Kumar · Answer

takes over. The other is even two X away. 25 off happened while Saxon jacks and inverse ax off vaccine to explore, we can write. It is a why equals two X are we can say it will be X equals nothing. But why upon to So the inverse off these funds and f off inverse X, we will be just replace why, in terms of X so it will be X upon toe, so we need to know very part of this one. So the basic terminology say that when if off every inverse X and that will be there to times off in place off facts we need to put next upon to so it would be X comes out. And when we verify f x off packs so it actually acts upon to so x upon to and in place off hex, you need to put two x upon toe. So again, it would be excellent, is very tired now. Okay,

Amrita Bhasin · Answer

okay. We have to find the composite functions. So for the 1st 1 we&#x27;re looking at, AF comes the fifth root of ax, which we can rewrite as acts to the fifth, which is the same thing as X. The 2nd 1 we&#x27;ve got she of next assessed. We could be right this as the fifth root of X to the fifth. This is in the square. Root is you can see which we can simplify to simply acts the five over here on the five over here. Cancel. This is was acts because we have X and acts. The two functions are in verses.

Tony Ni · Answer

I say this question was giving the fashion off X. That&#x27;s a Lexi coaster to two parts to that. So we need to find a no one of that. So inverse effect. So so depend. That region said that was why you chose to to to power to acts, then will you? Just then we English is so that means actually supposed to tutor part two. Why and when they&#x27;re so awful. Why? But let&#x27;s go ahead and do that. So in order to get get to why we need to take, uh, lockable sensor log ex accosted log two. Log on to a to y So that so that&#x27;s gonna give us log of X because of two. Why log on to so log off X over. Log off too you go to Why so my why what you could chew log X over law Off to bed with 20 I can read. This is one over to log X space too. So this the amorous function There&#x27;s one over two Log expects to

Problem

When the function $g(x)=x^{2}+8 x+18$ is restrict…

Problem 27 Hard Difficulty

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 the
functions are inverses.

Answer

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

Related Courses

Algebra 2 and Trigonometry

Related Topics

Discussion

Top Algebra Educators

Heather Z.

Kayleah T.

Kristen K.

Michael J.

Algebra Courses

Absolute Value - Example 1

Absolute Value - Example 2

Recommended Videos

Watch More Solved Questions in Chapter 4

Video Transcript

Ann Xavier Gantert

Algebra 2 and Trigonometry

Heather Z.

Kayleah T.

Kristen K.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

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

Algebra 2 and Trigonometry

Heather Z.

Kayleah T.

Kristen K.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Heather Z.

Kayleah T.

Kristen K.

Michael J.

Ann Xavier Gantert

Algebra 2 and Trigonometry