Question

Find the inverse function of the following function: f(x) = x/x+1​

Answer 1

Step-by-step explanation:

solution : Given function

f(x) = x/x+1

Let f^-1(x) = t

x = f(t)

x = t/t+1

x(t+1) = t

xt+x = t

xt-t = -x

t(x-1) = -x

t = -x/x-1

t = x/1-x

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

inverse function of f(x) is x/1-x