jahen740
jahen740 jahen740
  • 02-07-2019
  • Mathematics
contestada

If f(x)=3x - 15', thenNf^(-1)(x)=
Enter the correct answer.

Respuesta :

gmany
gmany gmany
  • 03-07-2019

Answer:

[tex]\large\boxed{f^{-1}(x)=\dfrac{1}{3}x+5}[/tex]

Step-by-step explanation:

[tex]f(x)=3x-15\to y=3x-15\\\\\text{exchange x to y and vice versa:}\ x=3y-15\\\\\text{solve for}\ y:\\\\3y-15=x\qquad\text{add 15 to both sides}\\\\3y=x+15\qquad\text{divide both sides by 3}\\\\y=\dfrac{x}{3}+5\\\\y=\dfrac{1}{3}x+5[/tex]

Answer Link

Otras preguntas

The most successful types of plants on Earth are
If an agency fails to act in good faith with regard to a _________, the courts will hear an appeal without exhaustion.
which of the following is not a metamorphic agent A. Chemically active fluids B. Hot water rising through cracks C. Force of hurricane winds D. Pressure from
Find the sum of integers -72, 237, 84, 72, -184, -37
College national study finds that students buy coffee from a coffee shop on average 12 times a week, I believe it may be different for UML students. I collect d
Explain why the balls representing fluorine (teal) and hydrogen (white) have only one peg, while carbon (black) has four.
which type of character do "the men" represent in this passage?
Elaborate is to adding as is to looking back.
If f(x) = 3 - 4x, find f(1+a) I am in the need of assistance thank you !
Chik Chik Company showed the following balances at the end of its first year: Cash $ 3,000 Prepaid insurance 4,700 Accounts receivable 3,500 Accounts payable 2,