The inverse of the function in slope-intercept form is f⁻(x) = -x/2 - 2
What is the inverse function?
A function that can change into another function is referred to as inverse. In other words, the inverse of any function "f" will take y to x if it takes x to y in the first place. If a function is written as "f" or "F," the inverse function is written as "f⁻" or "F⁻."
What is slope-intercept form?
The slope-intercept form of a straight line is used to find the equation of a line.
Here,
A function is given to us and we need to find the inverse of the function in slope-intercept form. The given function is,
f(x)= −2x−4
Let assume that y = f(x), then
y = -2x - 4
Now interchange the positions of x and y, and we get
x = -2y - 4
Solve this equation for y in terms of x,
Adding 4 on both sides, we get
x + 4 = -2y
After, dividing both sides by 2, we get
x/2 + 2 = -y
-x/2 - 2 = y
Now replace y with f⁻(x)
f⁻(x) = -x/2 - 2
Hence, the inverse of the function in slope-intercept form is f⁻(x) = -x/2 - 2
To learn more about inverse function from the given link
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