Express the function h(x) = 5log(x² + 6) the form fog. If f(x) = 5log(x), find the function g(x)

Q: Let f(x) = x² - 6x and g(x) = 4 - x². ▪ (f+g)(4) = (f-g) (4) = (fg)(4) = (4) (4)

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Q: Let h(x) = x³ - 2x + 3 and find the value. h(-1)

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Q: Find f.g, g. f, and g. g. f(x) = x + 4, g(x) = x - 9 (a) f.g (b) g.f

A: Explanation and solutions is given below....

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: Find f(3) for the given function. f(x) 3D (x- 2)(x- 4)(x+5) Type your numeric answer and submit

A: f(x)=(x-2)(x-4)(x+5)Substitute x=3 in f(x)

Q: Given the function h, find functions f and g such that h(x) = (go f)(x). h(x) = (6+ 4x)" a. f(x) =…

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Q: -2 -1 0 1 3 5 6

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Q: Find the domain of the function G where G(x) = (2x/x-9)

A: We need to find the domain of the function G where G(x) = (2x/x-9). So,  The domain of a function is…