Answer:
Step-by-step explanation:
Apply <u>PEMDAS</u> order of operations:
→ Parentheses
→ Exponents
→ Multiplication
→ Division
→ Addition
→ Subtraction
________________
<u>1) Parentheses:</u>
<u>2) Exponents:</u>
<u>3) Multiplication/Division:</u>
Convert to fraction:
Multiply 2 × 2, and 5 × 1:
Convert to fraction:
Apply fraction rule:
Multiply 4 × 1 and 5 × 3:
<u>4) Addition/ Subtraction:</u>
Finally, Convert fraction to mixed number:
<u>___________________________</u>
Answer: (9, ∞)
Step-by-step explanation:
You cant take the natural log of a negative number, and you cant take the natural log of 0. So, to find the intervals where the function is defined, set the inside of the natural to 0.
9x - 81 = 0
x = 9
The intervals where this function is continuous is from 9 --> infinity
Answer:3.215
Step-by-step explanation: