Question

Given F(x) shown below, complete the equation for the inverse of F(x)

Answer 1

i am really struggleling with inverses. i would like for someone to explain in a easy way

Answer 2

To find the inverse:

Replace f(x) with y
Switch x's and y's, so put x where y is and x where y is.
Solve for y
Replace y with f^-1(x)

Answer 3

so replace f(x) with y then is gonna be
y=35/5 +3?

Answer 4

y=3x/5 +3 *

Answer 5

Correct

Answer 6

and switch x and y
so
x=3y/5 +3

Answer 7

actualy your answer uses F^-1(y) = expression in y

Answer 8

Ah, nice. Solve for x in this case :)

Answer 9

y = 3x/5 + 3 , solve for x, that will be your 'inverse' function

Answer 10

They made it even easier for you jackelyn :P

Answer 11

So in this case you don't have to switch any variables around you can simply solve for x, and then let x = f(y).

Answer 12

soo confusing i just ran to get some paper and a pencil to see how it goes. ok ok step by step

Answer 13

f^-1(y)

Answer 14

Ok since you're solving for f^-1(y), do this.

Let f(x) = y
No switching of variables.
Solve for x.
Let x = f^-1(y)

Answer 15

ive always hated solving for things with fractions. so how can i solve for x here when i got a fraction

Answer 16

so i tried it out and i believe its this.
x=5(y-3)/3

Answer 17

Shouldn't be in brackets

Answer 18

Otherwise seems good :)

Answer 19

\[x=\frac{ 5y-3 }{ 3 }\]

Answer 20

You can simplify it a bit more, but you're fine now let x = f^-1(y)

Answer 21

inverses dont like me :(
i put the answer on apex and it said its (5/3)(y - 3)
why?

Answer 22

It's simplified as I was saying before, but since you put it in a computer, it doesn't understand it probably, but this is it.