Describe the domain and range of: f(x) = — 4/x+1 +3

Mathematics

1 answer:

Alexus [3.1K]3 years ago

6 0

Answer:

Set the denominator in 4x equal to 0 to find where the expression is undefined. x=0

The domain is all values of x that make the expression defined.

Interval Notation: (−∞,0)∪(0,∞)

Set-Builder Notation: {x|x≠0}

The range is the set of all valid y values. Use the graph to find the range.

Interval Notation: (−∞,4)∪(4,∞)

Set-Builder Notation: {y|y≠4}

Determine the domain and range.

Domain: (−∞,0)∪(0,∞), {x|x≠0}

Range: (−∞,4)∪(4,∞), {y|y≠4}

Step-by-step explanation:

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So first, you get the absolute value to one side:
$|5x|+5=45\\
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3 years ago

Read 2 more answers

Through (5,2) slope=1

LUCKY_DIMON [66]

Answer:

y = x - 3

Step-by-step explanation:

Equation of line in slope point form is given as:

y - y_1 = m(x - x_1)

$y - y_1 = m(x - x_1) \\ y - 2 = 1(x - 5) \\ y - 2 = x - 5 \\ y = x - 5 + 2 \\ y = x - 3 \\$