Question

I'm not sure how to work this out, are they asking for an inverse?

Given the function f(x) = 2x - 5 / 3, which of the below expressions is correct?

a. f^-1(x) = 5-2x / 3
b. f^-1(x) = 3x - 5 / 2
c. f^-1(x) = 3x + 5 / 2
d. -2x - 5 / 3

Answer 1

for d. I forgot the f^-1(x) = at the beginning

Answer 2

Yes they are asking for an inverse.

Do you know how to find it?

Answer 3

So I would change the f(x) with y and then switch the y and x but I am not sure what to do after that.

Answer 4

would it be d?

Answer 5

@NobodyOwens

Answer 6

Ok so switching it gives:

x= (2y-5)/3

multiple both sides by 3
3x = 2y-5
add 5 to both sides
3x+5 = 2y
Divide both sides by 2
(3x+5)/2 = y

Answer 7

Oh my goodness. Awesome! Thank you so much! I was on the verge of figuring it out, I just wasn't sure if I was supposed to divide, add, or multiply first. Thank you!

Answer 8

Haha no problem.