Question 1152233
{{{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 (x ) }}}is mapping {{{x }}}to{{{ y}}}, then the inverse function of {{{f (x )}}} 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+7}}}...since {{{C =C^-1(N)}}}
{{{C^-1(N)=N+7}}}->the inverse of the function

Input/Output roles for a function and its inverse are interchanged. Means domain and range are also interchanged.