Question

Find the inverse function of g(x) = 2x + 4. g -1(x) = 4x + 2 g -1(x) = 2x + g -1(x) = x - 2 g -1(x) = 2x - 4

Answer 1

For this case we must find the inverse of the following function:

$g (x) = 2x + 4$

Replace g(x) with y:

$y = 2x + 4$

We exchange the variables:

$x = 2y + 4$

We solve for "y":

We subtract 4 on both sides of the equation:

$x-4 = 2y$

We divide between 2 on both sides of the equation:

$y = \frac {x} {2} -2$

We change y by $g ^ {-1} (x)$:

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

Answer:

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

Answer 2

Answer:

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

Step-by-step explanation:

the inverse function of g(x) = 2x + 4

To find the inverse of a function we replace g(x) with y

$y=2x+4$

Replace x with y and y with x

$x=2y+4$

Solve the equation for y

Subtract 4 from both sides

$x-4= 2y$

Divide both sides by 2

$\frac{x}{2} -2=y$

$y=\frac{x}{2} -2$

Replace y with f inverse

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