Question

find the inverse function
f (x)=x+9

Answer 1

Let y = x + 9
Step 1; Write x in terms of y

Answer 2

what do you get?

Answer 3

x-9?

Answer 4

yup you went one step ahead, you're right that's the inverse function

Answer 5

you can verify it by putting it back in the f(x) and seeing if you get x
so f(x-9) should equal x

Answer 6

but how do you do f(x)=3x+6

Answer 7

same technique as above, find x in terms of y and then replace y with x

Answer 8

so you start with y = 3x + 6

Answer 9

then do you do -6?

Answer 10

yes you get x = (y-6)/3

Answer 11

then you get 3

Answer 12

so the inverse is (x-6)/3

Answer 13

and then you check this by putting it back in f(x) and checking if you get x

Answer 14

so my answer is x-3

Answer 15

nope (x-6)/3 is not equal to x - 3

Answer 16

sorry im lost

Answer 17

that's your solution

Answer 18

it's the inverse function

Answer 19

of f(x) = 3x+6

Answer 20

thanks can you help simpliy the expression assume all variables are positive