Question

f^–1(x) teach me how to solve this

Answer 1

?

Answer 2

what do you mean ?

Answer 3

solve what?
f^–1(x) equal:
x/f
? fine

Answer 4

domain= R (all real numbers)

Answer 5

example:

\[\LARGE f^{-1}(x)=\frac{2x-3}{x+1}\]

Answer 6

inverse right?

Answer 7

root:
x = 0
f different 0

Answer 8

inverse yes, i need to learn to solve inverse problems by tomorrow

Answer 9

you have to replace all x-es with y and y with x... so you need to change their places and you'll have...

from:
\[\LARGE f^{-1}(x)=\frac{2x-3}{x+1}\]
which is :
\[\LARGE y=\frac{2x-3}{x+1}\]

now change their places:
\[\LARGE x=\frac{2y-3}{y+1}\]

and now solve for y ....
\[\LARGE x=\frac{2y-3}{y+1}\]
\[\LARGE x(y+1)=2y-3\]
\[\LARGE xy+x=2y-3\]
\[\LARGE xy+x-2y=-3\]
\[\LARGE xy-2y=-3-x\]
\[\LARGE y(x-2)=-3-x\]
\[\LARGE y=\frac{-3-x}{x-2}\]

Answer 10

omg uhhh ok then but how do you know what f^-1(x)= in the first place