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

Question

aravindg · Answer

x

anonymous · Answer

hey can u help me solve that function

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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 
$$f^{-1}(x)=\frac{1}{x-11}$$

anonymous · Answer

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