Mathematics: Let f(x) = 2x + 2. Solve f−1(x).

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Let f(x) = 2x + 2. Solve f−1(x). - id2217308801, brummy309506

jeffrey74081

31.01.2022

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

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

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