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disa [49]
3 years ago
13

What is the domain of the function h(x)=4log_5(x−6)+1 ? Enter your answer in the box.

Mathematics
2 answers:
Fed [463]3 years ago
8 0

Answer:

All real numbers greater than 6.

Step-by-step explanation:

To find the domain we have to find if there are intervals where the function is not defined.

In this case, we have a logarithm.

Logarithms of any base are not defined for 0 or values less than zero (negative numbers). So the logarithm argument must be greater than zero.

For the above to be true: x-6 must be greater than zero.

x-6 > 0

x > 6

If x is greater than 6, the argument of the logarithm will be greater than zero and the function will be defined.

The anser is: All real numbers greater than 6.

Kaylis [27]3 years ago
4 0

The domain is all real numbers greater than 6

log functions cannot be less than 0

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Answer:

A. 34°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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Equality Properties

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = <em>x</em>

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  2. Inverse Trig [Tangent]:                                                                                     \displaystyle x^\circ = tan^{-1}(\frac{24}{35})
  3. Evaluate:                                                                                                           \displaystyle x = 34.439^\circ
  4. Round:                                                                                                               \displaystyle x \approx 34^\circ
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