The inverse of the function will be, [tex]\rm y=\frac{1}{4} x-2[/tex]. Option A is correct. The function is obtained by rearranging the equation.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The given function is;
[tex]\rm f(x) = 4x + 8 \\\\ y=4x+8 \\\\[/tex]
After rearranging the equation, we get;
[tex]\rm x=4y+8 \\\\ y= \frac{1}{4} (x-8)\\\\ y=\frac{x}{4} -2\\\\ y=\frac{1}{4} x-2[/tex]
The inverse of the function will be, [tex]\rm y=\frac{1}{4} x-2[/tex].
Hence, option A is correct.
Learn more about the function here:
brainly.com/question/5245372
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