Question

I need help figuring out the inverse function of
f(x)=2+10x

I kind of have an idea of what to do but I'm not entirely sure

Answer 1

what is your idea?

Answer 2

solve for x, then switch the variables

Answer 3

@tiffanyr96 There are steps for finding the inverse of a function in every math book, memorize them once and for all.

Answer 4

or on google

Answer 5

I looked on google but it didn't help much, neither did my flvs lesson, I know you have to solve for x but im not sure on how you make the switch, like what are you replacing with y

Answer 6

replace y by x

Answer 7

and x by y

Answer 8

The switch is this way, Where ever is an x put y there and where ever there is a y put x there!

Answer 9

ok so I have f(x)=2+10x to start with
then I switch it to y=2+10x

Answer 10

then solve for x

Answer 11

then you solve for x by subtracting 10 from both sides?

Answer 12

no solve for x, first by subtracting 2 from both sides, then dividing by 10 from both sides, this will isolate and solves for x

Answer 13

ahhhh ok I get it now, my bad
ok so then it would turn into
y-2=10x

Answer 14

correct, then isolate x by division

Answer 15

ok I got
y-2/10
now heres where I got confused on what comes next

Answer 16

you can reduce 2/10, to 1/5.. and the y is also divided by 10.. now it would be \[x = \frac{ y }{ 10 }-\frac{ 1 }{ 5 }\] now switch the y and x

Answer 17

oh wait....
would
\[f ^{-1}(x) = \frac{ x-2 }{ 10 }\]
also be the correct answer?

Answer 18

yup

Answer 19

awesome, thanks so much for ur help :)

Answer 20

no prob :)