JamaicaF648463 JamaicaF648463
  • 03-11-2022
  • Mathematics
contestada

If ƒ (7) = 22, thenf-¹(f(7)) = [?]

Respuesta :

YohanF173519 YohanF173519
  • 03-11-2022

Remember the following property of invertible functions:

[tex]f(x)=y\qquad\Leftrightarrow\quad f^{-1}(y)=x[/tex]

Then:

[tex]f^{-1}(f(x))=x\qquad\forall x[/tex]

Then:

[tex]f^{-1}(f(7))=7[/tex]

Therefore, the answer is: 7.

Answer Link

Otras preguntas

if the proper dosage of a drug is 2.0mg/kg of body weight, how many milligrams (mg) of the drug would a 110 lb individual need? (5%)
Find the remainder when 2x^4-6x^3+2x^2-x+2 is divided by x+2
What is the next number of the pattern. 2 7 26 101 400
Why does more solar energy reach the equatorial regions than the polar regions?
Solve for x/4-x+2/6=x/3
what is the fraction ten twelfths in it's simplest form ?
Does a scalene always have to have unequal sides?
Find the explicit formula that produces the given sequence. 3/2, 3/4, 3/8, 3/16,...
What are the essential 4 parts for a civilization to develop? Explain how rivers were the source of civilization?
what are facts on Loyalists?