Option D: [tex]h(x)=\frac{1}{4}x[/tex] is the inverse of the function f(x) = 4x
Explanation:
Given that the function is [tex]f(x)=4x[/tex]
We need to determine the inverse of the function.
Inverse of the function h(x):
The inverse of the function can be determined by interchanging the variables x and y and then solving the function for y.
Thus, the function is written as,
[tex]y=4x[/tex]
Interchanging the variables x and y, we have;
[tex]x=4y[/tex]
Dividing both sides by 4, we get;
[tex]\frac{1}{4}x=y[/tex]
Thus, the inverse of the function is [tex]h(x)=\frac{1}{4}x[/tex]
Hence, Option D is the correct answer.
