Question

Given the function:
What is the inverse function of g(x)?
g(x) = -
O g-4(X) = - 2x - 3
Og +(x) = -3(x-3)
O g 7(x)=-3x-2
O g-(x) = -2(x – 3)

Answer 1

Answer: The answer is D

g-1(x)= -2(x-3)

Step-by-step explanation:

Answer 2

The inverse of a function is its opposite

The inverse of the function g(x) is $g^{-1}(x)= -2(x-3)$

The function is given as;

$g(x) = -0.5x + 3$

Rewrite as:

$y = -0.5x + 3$

Swap the x and y variables

$x = -0.5y + 3$

Subtract 3 from both sides

$-0.5y = x -3$

Multiply both sides by -2

$y= -2(x-3)$

Rewrite as:

$g^{-1}(x)= -2(x-3)$

Hence, the inverse of the function g(x) is $g^{-1}(x)= -2(x-3)$

Read more about inverse functions at:

https://brainly.com/question/14391067