fortwaltonbrewing fortwaltonbrewing
  • 31-01-2024
  • Mathematics
contestada

What is the inverse of the function f(x) = 2x – 10?

h(x) = 2x – 5
h(x) = 2x + 5
h(x) = one-halfx – 5
h(x) = one-halfx + 5
\

Respuesta :

Tails7
Tails7 Tails7
  • 31-01-2024

To find the inverse of the function f(x) = 2x - 10, swap f(x) and x:

x = 2f^(-1)(x) - 10

Add 10 to both sides:

x + 10 = 2f^(-1)(x)

Divide by 2:

(x + 10)/2 = f^(-1)(x)

So, the inverse function is f^(-1)(x) = (x + 10)/2.

Now, check the given options:

h(x) = (x + 10)/2

Therefore, the correct answer is h(x) = (x + 10)/2.

Answer Link

Otras preguntas

what is a abscisic acid​
what role can you and your family play in your community to maintain social harmony ?​
If the average(arithmetic mean) of g and 100 is 75,what is the value of g + 100?
what is the subject in the sentence "It is a steel cylinder a hundred feet long"
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A mutation occurred in the following DNA sequence AGCCTAGCC and the mutated form is now AGCCTTAGCC. Which of the following correctly describes the result of thi
Help me because I dont understand
Solar System - Scaling. When you look at Neptune in a telescope, you are actually looking into the past as the light has to travel from Neptune to your eyes. If
Match each term with the best description. a. Membrane-bound structure that supports energy production. b. Semi-permeable, living covering of the cell. c. Lo
What is the measure of