Given functions f(x) interval notation. = f(x) h(x) Domain of f(h(x)) : Domain of h(f(x)) :| Domain of and h(x) = x² — 4, state the domains of the following functions using

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

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

Q: Use f(x) = 5x – 3 and g(x) = 4 – x2 to evaluate the expression. (a) (fo n(-1) (b) (g o g)(-1)

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Q: ider the ns. f(x) = x2, g(x) = x + 8 Find (fo g)(x). Find the domain of (fo g)(x). (Enter your…

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Q: The function f(x) = |æ| is over its entire domain. Fill in the blank with either one-to-one or not…

A: A one to one function is a function in which all the elements of the domain are mapped to a unique…

Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: Use the functions below to evaluate and simplify the function compositions. ƒ₁(x) = 4x² – 3x − 1,…

A: Given : f2(x)=7x2-3x-10   To Find : (f2ο f2)(-1)

Q: Given functions f(x) = Va + 11 and m(x) = a - 3, state the domains of the following functions using…

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Q: Find an expression for f(x) and state its domain in interval notation given that f is the function…

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Q: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: Evaluate f(-5), (0), and f(3) for the piecewise defined function. - 4 if x < 0 f(x) : if x 2 0 f(-5)…

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