Question

f g(x) = 3x + 5, what is g–1(x)?

Answer 1

if not f*

Answer 2

inverse of g?

Answer 3

yeah g^-1

Answer 4

you mean g^-1(x)

Answer 5

sorry I typed this and then posted it without checking it.

Answer 6

it is ok :)

Answer 7

g-1(x) is the inverse of g(x)

g(x) = 3x + 5
find x in terms of g(x)

3x = g(x) - 5
can you now find x ?

then replace g(x) by x and x by g(-1)x
and thats your inverse

Answer 8

it is
3x + 5=g(x)=y

solve for x then switch variables (y and x)

Answer 9

wait what? Im lost

Answer 10

you take 3x+5=y and switch the variables? so its 3y+5=x?

Answer 11

is it x+5/3?

Answer 12

you made a small eror in the sign of the result - please re-check your answer

Answer 13

okay hold on

Answer 14

remember you started with:

g(x) = y = 3x + 5

and then swapped x/y variables to get:

x = 3y + 5

Answer 15

ok...

Answer 16

so now you need to re-arrange the last expression so that you end up with "y = ..."

do you know how to do that?

Answer 17

subtract 3y from both sides

Answer 18

x-3y=5
then you subtract x from both sides. so -3y=-x-5

Answer 19

well first we can just swap the left and right hand sides to get:

3y + 5 = x