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Which function is the inverse of f Superscript negative 1 Baseline (x) = negative one-half x minus three-halves?
f Superscript negative 1 Baseline (x) = one-half x minus three-halves

Sagot :

A function assigns the value of each element of one set to the other specific element of another set. The inverse of the function g(x)=-2x -3.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Two function are inverse of each other if,

f(g(x))=x

g(f(x)) = x

Since the function is inverse, therefore, we can write,

g(f(x)) = a(-1x/2 - 3/2) + b

x = -ax/2 - 3x/2 + b

-a/2 = 1

a = -2

-3a/2 + b = 0

b= -3

Thus, the inverse of the function g(x)=-2x -3.

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Answer:

the inverse of the function g(x)=-2x +3 .

Step-by-step explanation: