Canada1804 Canada1804
  • 11-03-2020
  • Mathematics
contestada

onto
2, Error Analysis Abi said the inverse of
f(x) = 3x + 1 is f-1(x) = 3x - 1. Is she correct?
Explain.

Respuesta :

jimrgrant1 jimrgrant1
  • 11-03-2020

Answer:

No

Step-by-step explanation:

To obtain the inverse function

let y = f(x) and rearrange making x the subject, that is

y = 3x + 1 ( subtract 1 from both sides )

y - 1 = 3x ( divide both sides by 3 )

[tex]\frac{y-1}{3}[/tex] = x

Change y back into terms of x, thus

[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{3}[/tex]

Answer Link

Otras preguntas

I need help simplifying 2√9-5^3√-8
help really important plz
if you read 1/4 of a book, how much can you read in one hour
Solve the following equation: 2(x+1)=3x-1
When medical professionals talk about the abdomen, they divide it into four sections, or abdominopelvic quadrants. These four imaginary sections meet at a singl
A 65.0-gram sample of some unknown metal at 100.0° C is added to 177.1 grams of water at 24.5° C. The temperature of the water rises to 27.0° C. If the specific
Identify the appropriate mixed number for the picture shown. A. 1 1⁄4 B. 4⁄5 C. 5⁄4 D. 1⁄4
Plans for a bridge are drawn on a coordinate grid. One girder of the bridge lies on the line y = 3x – 3. A perpendicular brace passes through the point (–7, 9).
There are s swimmers in the swimming club. The club bought 16 swimming caps to split among its members. Write an expression that shows how many swimming caps ea
What is the solution of the linear system of equations? A. (0, 7) B. (–7, 0) C. (–5, 2) D. (–2, 5)