SOLUTION: Noah’s cousin is exactly 7 years younger than Noah. Let C represent Noah’s cousin’s age and N represent Noah’s age. Age measures in years. a. Write a function that def

Algebra ->  Functions -> SOLUTION: Noah’s cousin is exactly 7 years younger than Noah. Let C represent Noah’s cousin’s age and N represent Noah’s age. Age measures in years. a. Write a function that def      Log On


   

Question 1152233: Noah’s cousin is exactly 7 years younger than Noah. Let C represent Noah’s cousin’s age and
N represent Noah’s age. Age measures in years.
a. Write a function that defines the cousin’s age as a function of Noah’s age. What are the input and output of the function?
b. Write the inverse of the function. What are the input and output of the inverse function?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
C=N-7

C%28N%29=N-7------the function
Cousin's age depends on Noah's age.


The inverse-----------C%5E%28-1%29%28N%29=N%2B7
Still depends on N, Noah's age.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
C represent Noah’s cousin’s age
N+represent Noah’s age
a.
Noah’s cousin is exactly 7 younger than Noah:
C+=N+-7+->the input is N and output of the function is C

b. Write the inverse of the function. What are the input and output of the inverse function?
If a function f+%28x+%29+is mapping x+to+y, then the inverse function of f+%28x+%29 maps y+back to x.
in your case x=N and y=C
C+=N+-7 .......to find inverse interchange the variables C and N
N=+C+-7 ....solve for C
C+=N%2B7...since C+=C%5E-1%28N%29
C%5E-1%28N%29=N%2B7->the inverse of the function
Input/Output roles for a function and its inverse are interchanged. Means domain and range are also interchanged.