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

When do you use ' after a word ??
In a bedridden patient recovering from a badly fractured femur, disuse atrophy in the thigh muscles is caused by _________.
Two rectangles are similar. one has a length of 10 cm and a width of 8 cm, and the other has a width of 7 cm. find the length of the second rectangle. round to
Although all three significant baroque composers created concertos, _____ is considered the master of the concerto. vivaldi bach handel vivaldi and handel
What nonliving materials are important to living things?
Some rocks are pushed deeper into the earth. as these rocks experience greater heat and pressure, what type of rock will they turn into if they do not melt? a.
what is the mass of 3.5x10^22 molecules of C6H12O6
Which of these is not part of the body's immune system? a. antibodies b. memory cells c. red blood cells d. white blood cells
I do not understand how to do this ?..
Why did the french believe the ohio river valley was rightfully their territory?