Question

f(x)=10-x
f-1(x)=____________
top is neg power of f but couldnt write -1 power of f

Answer 1

Inverse it.

y = 10 -x is your original equation

Switch the x and y.

x = 10 - y


Move y over to get the original form.

10 - x = y

Answer 2

\[f^{-1}(x) = 10-x\]We check this as:
\[f^{-1}(f(x)) = 10-(10-x)=x\]

Answer 3

well if you are finding the inverse you set the function as y=10-x then swap your x and y's
x=10-y

then solve for y