Give 3 examples of inverse functions and explain how it's an inverse function. For example 3x - 7.

Question

firejay5 · Answer

@phi

phi · Answer

first, you should write the function as
f(x) = 3x -7

or
y = 3x -7

to find the inverse,  rename y to x and x to y:    x= 3y-7
now solve for y:      
x= 3y-7
x+7 = 3 y  (add 7 to both sides)
y=  x/3  + 7/3   (divide both sides by 3
you can write this as
$$ f^{-1}(x)= \frac{x+7}{3} $$

phi · Answer

there are well-known inverses:   y= x^2  and y= sqrt(x)
also   cos(x)  and acos(x)
and   e^x  and ln(x)

firejay5 · Answer

@phi

phi · Answer

This will explain it so you can do this problem http://www.khanacademy.org/math/algebra/algebra-functions/function_inverses/v/introduction-to-function-inverses

firejay5 · Answer

Thank! :D