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

Crossword hint (6 letters): Transport type with a net movement of substance across a membrane against a concentration gradient; requires use of cellular energy
Write the expanded form of 6,985,062 using exponential notation
how do you write 15,409 in expand form and in word form
complete the equation and tell which property you use 16+31=31_
If on the first of January a savings account has a balance of $3,200, what amount will be in this account after 3 years if the bank gives 6% per year interest c
count by tens and ones to find the sum of 45+26
What are the two major divisions of Islam?
how do you solve this equation . Q=3a+5ac
Find the first three iterates of the fiction for the given initial value F(x)=x+2, x0=0
how do you solve this equation . Q=3a+5ac