Given F(x) shown below, complete the equation for the inverse of F(x). If necessary, use the slash mark (/) for the division symbol.

Question

anonymous · Answer

$$F(x)=9x-8$$

anonymous · Answer

@Anickyan @Luigi0210 help me please

anonymous · Answer

would it be $$x+9/8$$

luigi0210 · Answer

Okay, now I'm certain that for this one you switch y and x

luigi0210 · Answer

Close, you just forgot to apply the division to the x

anonymous · Answer

how do i do that

anonymous · Answer

Are you familiar with solving equations?

anonymous · Answer

I can tell you what you did wrong: instead of dividing both x and 8 by 9, you divided 9 by 8. The inverse function should look like this:

$$f⁻¹(x) = \frac{x - 8}{9}$$

anonymous · Answer

oh so thats how my answer should look like?

anonymous · Answer

Yes. You could also replace $x$ with $y$, it wouldn't matter.

anonymous · Answer

not exactly...

y = 9x - 8  now switch x and y to get

x = 9y - 8 and solve for y...

you should get

y = (x+8)/9

anonymous · Answer

Yeah sorry, what @pgpilot326 , I solved with $9x + 8$ instead of $9x - 8$
My bad! :)

anonymous · Answer

no worries!!!  you had the right idea!!!

luigi0210 · Answer

Yup yup..