Question

Let f(x) = 2x + 2. Solve f−1(x).

Answer 1

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

Answer 2

Answer:

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

Step-by-step explanation:

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

Let y equal to the given equation ;

$y = 2x+2$

Solve for x ;  

$y-2 = 2x\\Divide \:both\:sides\:of\:the\:equation\:by \:2\\\\\frac{y}{2} - \frac{2}{2} = \frac{2x}{2} \\\\\frac{y}{2} -1 =x\\\\x = \frac{y}{2} -1$

Change the y back to x

$x = \frac{x}{2} -1 \\\\f^-^1(x) = \frac{x}{2} -1$