# (2 4. Find the equation of the inverse of the function y = 4 + 2x

2 answers

###### Question:

(2 4. Find the equation of the inverse of the function y = 4 + 2x

## Answers

Answer:y = (x-4)/2Step-by-step explanation:x = 4 + 2y, x - 4 = 2y, (x-4)/2 = y, y = (x-4)/2

Answer:[tex]{ \rm{y = 4 + 2x}}[/tex]• let y be m[tex]{ \rm{m = 4 + 2x}} \\ [/tex]• make x the subject:[tex]{ \rm{2x = m - 4}} \\ \\ \hookrightarrow \: { \rm{x = \frac{m - 4}{2} }} \\ [/tex]• substitute m with x[tex]{ \boxed{ \rm{ \: {y}^{ - 1} = \frac{x - 4}{2} \: \: }}}[/tex]

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