Question

enverse of f(x)=1/x​

Answer 1

Given:

f

(

x

)

=

1

x

To find the inverse function, first let

f

(

x

)

=

y

:

y

=

1

x

Switch

x

and

y

:

x

=

1

y

Solve for

y

, by multiplying both sides by

y

:

x

⋅

y

=

1

y

⋅

y

1

x

y

=

1

Divide both sides by

x

:

x

y

x

=

1

x

f

−

1

=

1

x