Question

Find the inverse function of -2}" align="absmiddle" class="latex-formula">

Answer 1

Step-by-step explanation:

Inverse of

y

=

x

+

3

x

−

2

is

y

=

2

x

+

3

x

−

1

Explanation:

As

y

=

x

+

3

x

−

2

x

y

−

2

y

=

x

+

3

or

x

y

−

x

=

2

y

+

3

or

x

(

y

−

1

)

=

2

y

+

3

or

x

=

2

y

+

3

y

−

1

Hence inverse of

y

=

x

+

3

x

−

2

is

y

=

2

x

+

3

x

−

1

Observe that each of the function is a reflection of the other in the line

x

=

y

.

graph{(y-(x+3)/(x-2))(y-(2x+3)/(x-1))(x-y)=0 [-10, 10, -5, 5]}