Question

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

Answer 1

y = (x-4)/2

Explanation:

x = 4 + 2y, x - 4 = 2y, (x-4)/2 = y, y = (x-4)/2

Answer 2

`{ \rm{y = 4 + 2x}}`

• let y be m

`{ \rm{m = 4 + 2x}} \\`

• make x the subject:

`{ \rm{2x = m - 4}} \\ \\ \hookrightarrow \: { \rm{x = (m - 4)/(2) }} \\`

• substitute m with x

`{ \boxed{ \rm{ \: {y}^( - 1) = (x - 4)/(2) \: \: }}}`