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mylen [45]
4 years ago
5

HELP ASAP! 70 POINTS

Mathematics
2 answers:
givi [52]4 years ago
5 0

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

<u>Step-by-step explanation:</u>

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

<u>    -2 </u>   <u>      - 2 </u>

x - 2 = 5y

<u>÷5     </u> <u>÷5  </u>    

\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

Alja [10]4 years ago
4 0

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

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