F(x)=(x^(-1))/(x^(-1)+1^(-x)) Use the function above. What's the value of f(2)?​

Question

`f(x)=(x^(-1))/(x^(-1)+1^(-x))`

Use the function above.
What's the value of f(2)?​

Answer 1

Some simplification:

`(x^(-1))/(x^(-1)+1^(-x))=(x^(-1))/(x^(-1)+1)=\frac1{1+\frac1{x^(-1)}}=\frac1{1+x}`

Then

`f(2)=\frac1{1+2}=\frac13`