Question

What is the inverse of f(x)=3x-1/2 ?

Answer 1

To find the inverse, change 'f(x)' to 'y' and then swap 'x' and 'y' and solve for 'y'.

Answer 2

Can you do that?

Answer 3

I'm so lost cx can you help me do it step by step :)

Answer 4

Okay, first replace 'y' with 'f(x)'.

Answer 5

f(x) = 3x - 1/2

Answer 6

Sorry, got that backwards.

Replace 'f(x)' with 'y'.

Answer 7

Which is y .__.

Answer 8

In the equation..

f(x) = 3x - 1/2
y = 3x - 1/2

Now switch 'y' and 'x'

Answer 9

so f(3x-1/2)=x ?

Answer 10

wow I'm really bad at this

Answer 11

No..

y = 3x - 1/2

Change places with 'y' and 'x'

Answer 12

ohhh but how does that make it the inverse ?

Answer 13

You will find out.

What did you get?

Answer 14

We're not finished yet.

Answer 15

oh my im so lost

Answer 16

???

Replacing 'f(x)' with 'y' in the equation given.

f(x) = 3x - 1/2
y = 3x - 1/2

Now we swap 'x' and 'y' and solve for 'y' to find the inverse equation.

x = 3y - 1/2

Can you solve that for 'y'?

Answer 17

is it y= 3x-2/1 ?

Answer 18

No... add 1/2 to both sides first.

x = 3y - 1/2

Answer 19

ohh wait wait its supposed to be f(x)= 3x-1 divided by 2

Answer 20

I didn't mean for it to look like 1/2

Answer 21

No... adding 1/2 to both sides gives us:

x + 1/2 = 3y - 1/2 + 1/2

x + 1/2 = 3y

Now divide 3 to both sides.

Answer 22

this is the equation that is supposed to be inversed.