EvaliseC282327 EvaliseC282327
  • 03-11-2022
  • Mathematics
contestada

Letℎ()h(x)be the inverse of()f(x). Ifℎ()=−4+1h(x)=−4x+1, which of the following represents()f(x)?

Letℎhxbe the inverse offx Ifℎ41hx4x1 which of the following representsfx class=
Letℎhxbe the inverse offx Ifℎ41hx4x1 which of the following representsfx class=

Respuesta :

RandaS729884 RandaS729884
  • 03-11-2022

In order to find f(x), we need to calculate the inverse of h(x)

[tex]h(x)=-4x+1[/tex]

y=h(x)

[tex]y=-4x+1[/tex]

We substitute x with y and y with x

[tex]x=-4y+1[/tex]

Then we isolate the y

[tex]4y=-x+1[/tex][tex]y=-\frac{1}{4}x+\frac{1}{4}[/tex]

ANSWER

f(x) is

[tex]f(x)=-\frac{1}{4}x+\frac{1}{4}[/tex]

The correct choice is the first one

Answer Link

Otras preguntas

Two different ways to find the difference for 12-3
Use mitochondrion in a sentence
first free settlement of africans in America
About how many individuals were members of scouting organizations in 2011 worldwide?
The majority of Portugal's colonies in Africa were located in Eastern Africa. a. True b. False
55/100 in simplest form
Write the expression that shows 3 times the sixth power of 10
A key message of “Frederick Douglass” is all human beings have a deep need for: A. love. B. logic. C. instinct. D. freedom.
how does the engraving tell a different story from the above description of the boston massacre
After making the shocking statement about crime statistics maurice stood quietly for several seconds while the information sunk in