Refer to the following functions: p(x) = x2 + 2x – 15 x +1 9(x) x-3 r(x) = v7-x Which of the following statement/s is or are true? i. The composite function roq is defined for all x < 7. Note: roqr[q(x)] ii. The resulting function of the product of p and q is defined for any real number x. iii. The difference quotient p(-2+h)-p(-2) 2 is defined for any real number h exc O i only O ii only O ii only i, ii, and ii

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A: Which option represents  the amount of water in the second bucket.

Q: Which of the following is equivalent to f(x + h) – f(x) h for the function f(x) = 4-3x2? -6x 3h | 6x…

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Q: 2. Determine the roots of the following function and draw its graph f(x)=x^² - x³ - 16x² + 4x +48

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Q: Select all of the statements that are true for the functi O f(x) is shifted 4 units to the right. If…

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A: Since, it is given that by cutting away an x-by-x square from each cornerof a rectangular piece of…

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A: The given function is fx=3x2-4x+5

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A: I am attaching image so that you understand each and every step.

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Q: a) k(-13)  b) k(9) c) k(26)  k(-13)=  Given the function k described by k(x)=6x, find each of the…

A: (a)Given information:

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A: Hence, the correct Answer is all real numbers x, except x=-3 (Second Option)

Q: The domain of the function 5t + 3 -is_ t2 + 49 g(t) O None of these O R O R- {49} O R-{-49}

A: We will find the domain as following.

Q: The functiong (x) = |x² – 16| + 5is differentiable everywhere except where x = Type the value of x.…

A: Consider the function g(x)=|x2-16|+5. This can be written as g(x)=x2-16+5, if x≤-4-x2-16+5, if…