The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞
<h3>How to determine the domain?</h3>
This is the set of input values on the table.
All input values (i.e. the x values) on the table are greater than 0 i.e. x > 0
Using the inequality notation, the domain of the table is x > 0
<h3>How to determine the range?</h3>
From the table, the logarithmic function outputs all zero, positive and negative numbers.
This means that the range is the set of all real numbers i.e. -∞ to ∞
Using the inequality notation, the range of the table is -∞ < f(x) < ∞
Read more about domain and range at:
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Answer:
12n -5 ≤ 55
Step-by-step explanation:
12 times a number (represented by n) is 12n.
"Decreased by 5" means 5 is subtracted from the product, giving 12n-5.
"Is no more than 55" means "is less than or equal to 55".
Then the expression written using math symbols is ...
12n -5 ≤ 55
Hey!
To solve this equation, we'd first have to apply the distributing rule to this equation.
<em>Original Equation :</em>

<em>New Equation {Changed by Applying the Distribution Rule} :</em>

· 3a · 2 +

And now we simplify.
<em>Old Equation :</em>

· 3a · 2 +

<em>New Equation {Old Equation Simplified} :</em>

- 12a + 4
<em>So, the equation

simplified is</em>
- 12a + 4.Hope this helps!
- Lindsey Frazier ♥
Answer:
S12=855735
Step-by-step explanation:
if the 3rd term is 45 then,
formula: Sn=ar^n-1
S12=5*3^12-1
S12=5*3^11
S12=5*177147
S12=855735