kaitlynkim7 kaitlynkim7
  • 11-10-2020
  • Mathematics
contestada

Find the inverse function of [tex]y=3^{x-2}[/tex]

Respuesta :

anncharisselofamia
anncharisselofamia anncharisselofamia
  • 11-10-2020

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]}

Answer Link

Otras preguntas

Check all that apply. If csc0=13/5, then:
What were the focus of the finches that allowed Darwin to observe significant variations
The function y=60/x relates y, the time in hours that it takes Michael to travel to his grandparents’ house, to x, his average speed in miles per hour. What doe
what is a controlled variable for ionic bonds and covalent bonds?
What's the solution set of –5 < 2x – 1 < 3?–2 < x < 2Infinitely many solutions–3 < x < –2No solution​
Find the missing segment in the attached image
What type of information goes in the shaded area of this web diagram?
Complete the following statements to prove that ∠IKL and ∠JLD are supplementary angles. It is given that ∠EIJ ≅ ∠GJI. Also, ∠EIJ ≅ ∠IKL and ∠GJI ≅ ∠JLK, as they
Pyramid square base is is 138 meters tall and 230 meters wide what is the volume of pyramid
Find the missing segment in the attached image