Question

Let f(x) = 2x + 2. Solve f−1(x).

Answer 1

F^-1(x)=x/2-1 this is the answer

Answer 2

f^-1(x) = x/2 -1

Explanation:

`f(x) = 2x + 2\\\\f^-^1 (x) = ?`

Let y equal to the given equation ;

`y = 2x+2\\`

Solve for x ;

`y-2 = 2x\\Divide \:both\:sides\:of\:the\:equation\:by \:2\\\\(y)/(2) - (2)/(2) = (2x)/(2) \\\\(y)/(2) -1 =x\\\\x = (y)/(2) -1`

Change the y back to x

`x = (x)/(2) -1 \\\\f^-^1(x) = (x)/(2) -1`