Question

If f(x)= x/x-1 then f(a)/f (a+1)​

Answer 1

Answer:

$\frac{a^2}{a^2-1}$

Step-by-step explanation:

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

f(a) = $\frac{a}{a-1}$

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

$\frac{f(a)}{f(a+1)}$ = $\frac{a}{a-1}$ ÷ $\frac{a+1}{a}$ = $\frac{a}{a-1}$ × $\frac{a}{a+1}$ = $\frac{a^2}{a^2-1}$