A function assigns the values. The inverse of the given function, f(x) is h(x) = (x/2) + 5, therefore, the correct option is D.
A function assigns the value of each element of one set to the other specific element of another set.
To find the inverse for the function solve, the given function for x, then interchange the position of x with y and vice-versa. Therefore, the inverse of the function is,
f(x) = y = 2x – 10
y+10 = 2x
x = (y/2) + 5
h(x) = (x/2) + 5
Hence, the inverse of the given function, f(x) is h(x) = (x/2) + 5, therefore, the correct option is D.
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