JamesHimsworth
JamesHimsworth JamesHimsworth
  • 01-03-2019
  • Mathematics
contestada

Find the inverse of the linear function y=1/2x+3.

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 01-03-2019

Answer:

2(x-3) = y

Step-by-step explanation:

y = 1/2 x +3

To find the inverse, exchange x and y and then solve for y

Exchange x and y

x = 1/2y +3

Then solve for 3

Subtract 3 from each side

x-3 = 1/2 y -3+3

x-3 = 1/2 y

Multiply each side by 2

2 (x-3) = 1/2 *2 y

2(x-3) = y

This is the inverse

Answer Link
musiclover10045
musiclover10045 musiclover10045
  • 01-03-2019

Interchange the variables:

x = 1/2y + 3

Solve for y:

Subtract 3 from each side:

x-3 = 1/2y

Multiply both sides by 2:

2x-6 = y

Rewrite the equation with y on the left side:

y = 2x-6

Replace y with f^-1(x):

f^-1(x) = 2x-6

Answer Link

Otras preguntas

what its about ?????????????????
Who brought food and supplies for the troops at Valley Forge and organized the women in camp to take care of the soldiers?
Who was the first African American who played in the MLB​
Which animal response to environmental stimuli is being shown by this map? camouflage B) hibernation C) migration D) mimicry
What does ''X'' mean
Consider the figure shown below. What is the volume of this figure? HELP PLEASEEE
An account earns simple interest. (a) Find the interest earned. (b) Find the balance of the account. 750 at 8% for 2 years
HELP MEEEE PLSSSSSSSS
PLEASE ANSWER I AM MARKING BRAINLIEST What does the word “curriculum” mean in the following sentence? The advanced curriculum at Jeremiah's school is difficult,
Thanks for helping, I really appreciate it