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The inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
<h3>
What is inverse of a function?</h3>
An inverse of a function is a function that serves to replace another function.
That is, if f(x) produces y, then putting y into the inverse of f produces the 0ut-put x .
Thus, an inverse function or an anti function is defined as a function, which can reverse into another function.
The inverse of the given function; f(x)= 3x − 12 is calculated as follows;
y = 3x - 12
replace y with x and x with y as shown below;
x = 3y - 12
now, solve for y
x + 12 = 3y
divide both sides of the equation by 3
x/3 + 12/3 = 3y/3
x/3 + 4 = y
f⁻¹(x) = x/3 + 4
Thus, the inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
Learn more about inverse of a function here: brainly.com/question/3831584
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The complete question is written below:
find the inverse of the function, f(x) = 3x - 12
<u>Importance of origin:</u>
The point at which the two axes intersect is called the origin. The intersecting x- and y-axes divide the coordinate plane into four sections.
The origin is at 0 on the x-axis and 0 on the y-axis. Since the origin has an x-coordinate of 0 and a y-coordinate of 0, its ordered pair is written (0, 0).
The origin is used to determine the coordinates for every other point on the graph. It is generally the starting point on a grid.
In general, origin is the place where something comes from or the place where something originates.
