Question

question 10 of 10, step 2 of 2
consider the following relation.
( y = -x + 1 )
step 2 of 2: find the domain and range of the inverse. express your answer in interval notation.
answer
domain =
range =
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Explanation:

Step1: Find inverse of the relation

Swap $x$ and $y$, solve for $y$:
$x = -y + 1 \implies y = -x + 1$
The inverse is identical to the original function.

Step2: Identify domain of inverse

For linear function $y=-x+1$, all real numbers are allowed inputs.
Domain: $(-\infty, \infty)$

Step3: Identify range of inverse

Linear function outputs all real numbers.
Range: $(-\infty, \infty)$

Answer:

Domain = $(-\infty, \infty)$
Range = $(-\infty, \infty)$