Question

f(x)=1/x+11
f-1(x)=_______ can someone help me with this? step by step?

Answer 1

x

Answer 2

hey can u help me solve that function

Answer 3

make f(x) y and switch them.

y = 1/x+11 <-----> x = 1/y+11 (switch the variable)

now solving for y you'll get y inverse...

y + 11 = 1/x

y = 1/x - 11

Answer 4

so f^(-1)(x) = (1/x) - 11

Answer 5

this function says: take the reciprocal, then add 11
inverse says : subtract 11, then take the reciprocal. it is
\[f^{-1}(x)=\frac{1}{x-11}\]

Answer 6

we can do it the other way too, get the same answer.
\[x=\frac{1}{y}+11\]
\[x-11=\frac{1}{y}\]
\[\frac{1}{x-11}=y\] so
\[f^{-1}(x)=\frac{1}{x-11}\]

Answer 7

\[f-1 (X) = 1\div x-11\] i think like thaz...wrong or correct...