Question

If f(x)=1+x/2-x, then f(1/x) is equal to:

Give answer with method.​

Answer 1

Step-by-step explanation:

We have,

$f(x) = \frac{1 + x}{2 - x}$

Now,

$f \bigg( \frac{1}{x} \bigg) = \frac{1 + \frac{1}{x} }{2 - \frac{1}{x} }$

$\implies \: f \bigg( \frac{1}{x} \bigg) = \frac{ \frac{x + 1}{x} }{\frac{2x - 1}{x} }$

$\implies \: f \bigg( \frac{1}{x} \bigg) = \frac{ x + 1 }{2x - 1 }$