austinr2132 austinr2132
  • 24-09-2021
  • Mathematics
contestada

If f(x) and f-1(x) are inverse functions of each other and F(x) = 2x + 5, what is f-1 (8)?


Respuesta :

altavistard
altavistard altavistard
  • 24-09-2021

Answer:

3/2

Step-by-step explanation:

Find the inverse function of f(x) = 2x + 5:

1.  Replace "f(x)" with "y:"  y = 2x + 5

2. Interchange x and y:  x = 2y + 5

3. Solve for y:  2y = x - 5, or y = (x - 5)/2

Then f^(-1)(8) = (8 - 5)/2, or 3/2

Answer Link

Otras preguntas

how we know that ancient civilizations knew of and were concerned about infectious diseases
How do contact forces such as friction differ from gravitational and magnetic forces?
What two numbers multiply together and equal 16 and add together and equal -2?
identify the greatest common factor or label as prime ** 28a^2-4ab
(m+2)(m+3)=(m+2)(m-2) what is the answer please
What contraction rhymes with the opposite of narrow
Can you solve this for me by: Factor out the GCF. Then continue to factor by using other methods.2a² -32
1. Mandy kept track of the trade-in value of a collector’s coin for several months through February of this year. She determined the line of best fit for the da
Solve for y: xy-d=m?
What does each angle term mean? OAT ITT EAT SATT ?