Question

For which function is f(x) not equal to f^-1(x)?

a. f(x)=2-x
b. f(x)=2/x
c. f(x)=-x
d. f(x)=2x

please help

Answer 1

to test what f inverse is,

swap f(x) and x, and resolve for f(x), that is your f inverse

Answer 2

for example, a.

f(x) = 2 - x

swap

x = 2 - f(x)
solve

f(x) = 2 - x (same as before) f inverse is the same as f

Answer 3

u get it?

Answer 4

Ill do one more to show you ....
b. f(x) = 2/x

Swap f(x) and x

x = 2/f(x)

re-solve for f(x), this is now f inverse of x

x*f(x) = 2

f(x) = 2/x

f^-1(x) = 2/x

F inverse of x is the same as f(x)

Answer 5

try that on c. and d. to see which one changes form when you do that process