Question

Need help! Will medal!

Answer 1

@Kawaii!!!2026

Answer 2

ok do you know how to get rid of that fraction on the second one

Answer 3

no

Answer 4

ok see how it is divided by 2 all you have to do is times by 2

Answer 5

then figure out the rest

Answer 6

ok after that then what?

Answer 7

ok i got x-1

Answer 8

\(f\) and \(g\) are inverses of each other if \(f(g(x))=g(f(x))=x\).

Answer 9

ok gotcha

Answer 10

but how does that help me?

Answer 11

I mean you sai they are so that would be B. but just because of that ^

Answer 12

I didn't say they *are*, I said they would be if they satisfy the condition I posted above. Notice the "if".

Answer 13

btw cool name and dathmaul is awesome

Answer 14

hmm well what would I do to see if thay are?

Answer 15

You have to evaluate \(f(g(x))\).

Given that \(f(x)=-2x+1\) and \(g(x)=\dfrac{x-1}{2}\), you have
\[f(x)=-2x+1~~\implies~~f(\color{red}{g(x)})=-2\color{red}{g(x)}+1=-2\left(\frac{x-1}{2}\right)+1\]
So does \(f(g(x))=x\)?

Answer 16

no its -x+2

Answer 17

Right, which means the condition is NOT satisfied, so \(f\) and \(g\) can't be inverses.

Answer 18

ok AWESOME!