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1 answer:
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Option C. all real numbers greater than 0 is the correct answer
Further explanation:
Domain is the set of all inputs on which the function is defined or real.
The given function is:
As the function involves a square root, we have to avoid negative numbers.
- All positive real numbers will produce defined output so the positive real numbers will be included in the domain.
- If we look at negative real numbers, we will be taking square root of a negative number which will not result in a real number
So the domain will only include positive real numbers.
Hence, Option C. all real numbers greater than 0 is the correct answer.
Keywords: Domain, Domain of radical functions
Learn more about domain at:
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Answer:
y = 108x + 216
Step-by-step explanation:
given
y = 4x³ then = 12x² =
x = 3 ⇒ m = 12(- 3)² = 108
equation of tangent in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept ), hence
y = 108x + b
To find b substitute (- 3, - 108) into the equation
- 108 = -324 + b ⇒ b = - 108 + 324 = 216
y = 108x + 216 ← equation of tangent