Given the functions f(x) = log2(4x) and g(x) = 4x – 3, which of the following statements is true? Both f(x) and g(x) have a common domain on the interval (0, ∞).  Both f(x) and g(x) have the same range of (–∞, 0].  Both f(x) and g(x) have the same intercept of (2, 0).  Both f(x) and g(x) increase on the interval of (–4 , ∞).

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

Q: Suppose f(x) = x + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

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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: Which of the following functions passes through the point(0, 10) and satisfiesf'(x)= 87

A: given f'(x)=8

Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

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Q: If the point in function f(x) has the coordinates (-2, 4), then what would be the coordinate for…

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Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: If f(x) = ax + b with a + 0, how are the zero of f and the x-coordinate of the x-intercept of the…

A: To find x-intercept of a function f(x), we put f(x)=0. To find zeroes of f(x), we put f(x)=0. i.e.…

Q: The functions g and h are defined by g(x) = 4x+1/3x-2 and h(x) = 5x – 2 a. Calculate g(0) and h(1/5)…

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