Question

Find the inverse of the function f(x)=mx+b.

Answer 1

can you solve y=mx+b for x ?

Answer 2

are you there?

Answer 3

I think I have the answer.

Answer 4

oh okay
do you want to post it

Answer 5

y= -bm(1+m) / (m^2-1) + b

Answer 6

Hmm... solving y=mx+b should only be a two step process
Shouldn't result in all of that

Answer 7

Solving y=mx+b for x:
1st step: Subtract b on both sides
2nd Step: Divide both sides by m (of course we are assuming m isn't 0 you know since we can't divide by 0)

Answer 8

y = (x-b) / m

Answer 9

right y=mx+b
step 1: we have y-b=mx
step 2: we have (y-b)/m=x
interchanging x and y gives
y=(x-b)/m

Answer 10

so I would get that for my final answer

Answer 11

the inverse is what we have found above

Answer 12

If you aren't sure you test it

Answer 13

thank you.

Answer 14

f(x)=mx+b and g(x)=(x-b)/m
check by making sure you get x for both of g(f(x)) and f(g(x))
\[f(g(x))=x \text{ and } g(f(x))=x\]