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(10 points) Let G = Z1oList the elements of Z1os,6, 1 ,6 , 43 (b) Find the inverse and the order of each element in 2,oList the elements of U(Z[o)(d) Write the mult...

Question

(10 points) Let G = Z1oList the elements of Z1os,6, 1 ,6 , 43 (b) Find the inverse and the order of each element in 2,oList the elements of U(Z[o)(d) Write the multiplication table of U( Zio)order of each klement in U( Zzo) (e) Find the inverse and the

(10 points) Let G = Z1o List the elements of Z1o s,6, 1 ,6 , 43 (b) Find the inverse and the order of each element in 2,o List the elements of U(Z[o) (d) Write the multiplication table of U( Zio) order of each klement in U( Zzo) (e) Find the inverse and the



Answers

Find the multiplicative inverse of each number. (a) 6 (b) $-\frac{3}{4}$ c) 0.7

As you can see, four Comma two is on the graph of G. Therefore, the inverse of two is gonna be four for part B six. Cover five is on the graph of G. Therefore, we know the inverse five is gonna be six for part C. We know eight comma sex is on the graph. Therefore, we know the inverse of sex is gonna be a

In this cushion the function and we'll fix. Okay. G O eggs odds in verses of each other if the buying X and deal fix is the same as y f of X hang eggs. So we like the ordered years. Every FX and X hang flying eggs and G thanks, no are writing The order appears off PayPal, X and X and X and geo picks in the polling table. Bigot that the points on FX and X and X and defects have some similar coordinates, so epileptics and zero expert in worse is all each other.

Okay, so here we have the two functions F N g. And we need to so that the function f n g r in west to each other. So first of all, we need to substitute y for a for fax. Now, to find the invest function, we need to interest in the variables and sold for Why so buy into change. We have X. They called Why? Minus nine by four. Now multiply for both sides and now at nine board side. So our English function is or X plus nine, which is nothing but the function g o fax. Right. So here we have ah f in your sex is equal to g affects. So now we can say that the function f n g r in west to each other. So using the graphing calculator, we can graph what dysfunctions. Okay, so this is a red line is our function f effects And this green line is our function g affects they started line is or why is equal to x line. So as we can see here fo vaccine geo affects our symmetric about why is equal to explain right? So f n g r cinematic Sorry f n g r invest to each other. Thank you

Okay, so we need to so that the functions f n g r invest to each other. So first of all, we need to substitute by for ffx now to find the in which function we need to interest in the variables. And so for Right So trying to change we have X is equal to negative seven by two y minus three. Now add three. Both side now multiply negative to both side. So on the outside we have negative two X minus six is called seven. Why now divide by seven both sides. Therefore, our inverse function is negative two x plus six divided by seven which is nothing but the function G affects. So here we have. Ah, having more sex is ecology affects So now we can say that function f n g r invest to each other right now. Using the graphing calculator, we can grab both dysfunctions. This red graph is our function for fax and the screen graph is our function geo affects. It's not a line that indicates your why is they call to Exline so your foo affects. NGO affects our cinematic about Why is equal to explain right so we can say that function F n g r in was to each other


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