Question

HELP ASAP! 70 POINTS

Answer 1

Answer:  f(x) and g(x) are inverses of each other

Step-by-step explanation:

To find the inverse of a function, swap the x's and y's and then solve for "y"

f(x) = 5x + 2

 y  = 5x + 2

Swap:

     x = 5y + 2

   -2        - 2

x - 2 = 5y

÷5     ÷5      

$\dfrac{x-2}{5}=y$

****************************************************************

$g(x)=\dfrac{x-2}{5}\\\\y=\dfrac{x-2}{5}\\\\\text{Swap:}\\x=\dfrac{y-2}{5}\\\\\\(5)x=\dfrac{y-2}{5}(5)\\\\\\5x=y-2\\\\5x+2=y$

Answer 2

Answer:

To find the inverse of a function, swap the x's and y's and then solve for "y"

Step-by-step explanation:

f(x) = 5x + 2

 y  = 5x + 2

Swap:

     x = 5y + 2

   -2          - 2  

x - 2 = 5y

÷5     ÷5      

\dfrac{x-2}{5}=y