Question

if f(x) =
$\frac{1}{1- x }$
then find f (
$\frac{x - 1}{x}$
)
​

Answer 1

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Answer 2

Step-by-step explanation:

Given,

f(x)=

x−1

x

f(a)=

a−1

a

f(a+1)=

a+1−1

a+1

=

a

a+1

Then,

f(a+1)

f(a)

=

a

a+1

a−1

a

=

a−1

a

×

a+1

a

=

a

2

a

2

f(a

2

)=

a

2

−1

a

2