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4 years ago

Please help me out with this problem

Mathematics

1 answer:

vovangra [49]4 years ago

3 0

Answer:

1) Given

2) if lines are parallel, then corresponding angles are equal

3) Substitution

4) if altenate interior angles are equal, then the lines are parallel

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3 years ago

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Answer:

Option B.

Step-by-step explanation:

Inverse function:

Suppose we have a function y = f(x). To find the inverse function, we exchange x and y on the original function, and then isolate y.

The domain of the inverse function(x values) is the range of the original function(y values).

Original function:

$f(x) = \sqrt{x} - 5$

Domain is $[0,\infty)$ , and when $x = 0, f(x) = -5$ . So the range is $[-5,\infty]$ , that is, $y \geq -5$

Inverse function:

$y = \sqrt{x} - 5$

Exchanging x and y

$x = \sqrt{y} - 5$

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$y = (x+5)^2$

The inverse function is $f^{-1}(x) = (x+5)^2$

Domain:

Range of the original function is $y \geq -5$ , so the domain of the inverse function is $x \geq -5$ . The correct answer is given by option B.

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