Question

Find the range of the function f(x)=1-[x-1]

Answer 1

Answer:

The range of f(x) is =R−{0}

Explanation:

The range of a function f(x) is the domain of the inverse function f−1(x)

Here,

f(x)=1/(x−1)

Let y=1/(x−1)

Interchanging x and y:

x = 1/(y−1)

Solving for y:

(y−1) =1/x

y=(1/x)−1=(1−x)/x

Therefore,

f−1(x) = (1−x)/x (inverse function of x)

The domain of f−1(x) is =R−{0}

Therefore,

The range of f(x) is =R−{0}

HOPE THIS HELPS YOU

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Answer 2

Answer:

your answer is R-{0}

Step-by-step explanation:

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