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Sergio039 [100]
3 years ago
6

Finding domain f(x)=3x+1/x-5

Mathematics
1 answer:
arlik [135]3 years ago
4 0
The function is undefinded if the denominator, x-5, equals 0.
So x-5 \neq 0 \\ 
x \neq 5.
The domain is x \neq 5.
In interval notation, this is (-infinity, 5) u (5, infinity).
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Can someone help please
REY [17]

Answer:

<em>HT </em>= 17

<<em>T</em> = 62°

<<em>H</em> = 28°

Step-by-step explanation:

1. Use the Pythagorean Theorem to find the length of the missing side.

a² + b² = c²

15² + 8² = c²

225 + 64 = c²

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√289 = c

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The length of side HT is 17.

2. Use SOHCAHTOA to find the measure of <<em>T</em>. Since we know the measure of two sides, opposite (15) and adjacent (8), use the formula for tangent as tangent is opposite/adjacent.

Tangent = \frac{opposite}{adjacent}  = \frac{15}{8} = 1.875

Use the tan⁻¹ button on the calculator to find the value for <<em>T.</em>

tan⁻¹(1.875) = 61.9°

<<em>T = </em>62°

3. To find the measure of <<em>H, </em>you can either add up the two angles and subtract from 180° or use SOHCAHTOA.

90° + 61.9° + x = 180°

151.9° + x = 180°

x = 28°

or

We know two sides: opposite (8) and adjacent (15). So, we will use tangent.

Tangent = \frac{opposite}{adjacent} =  \frac{8}{15} = 0.5333333333

Take the tan⁻¹ to get the measure of <<em>H.</em>

tan⁻¹(0.5333333333) = 28.07 = 28°

Hope this helps. Please give a thanks and mark as brainliest. :)

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Step-by-step explanation:

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