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

Which was a famous reformation portrait painter?
How many moles of anhydrous copper sulfate is produced when 6.4 moles of hydrated copper sulfate is heated
5. Which sentence does not contain any errors in the use of italics or quotation marks? A. Have you read the short story The Tell-Tale Heart? B. "Jacob Have I
In its decision in "Brown v. Board of Education," the Supreme Court declared that all school districts were entitled to equal financial support in proportion to
What is it called when air particles spread apart?
Which sentence has a pronoun with an unclear, missing, or confusing antecedent? A. After I read the book, I returned it to the library. B. I found a caterpil
Who painted murals in Rome? Michelangelo da Vinci Greco Elder
How do you write 49% as a fraction in simplest form
What is the difference between a synecdoche and a metonymy?
Which of the following was one of the two issues involving slavery in the Constitution? A. Whether three-fifths of slaves should be free B. Whether to allow men