Given f (x) = −2 log₂ (x) + 1 and g(x) = √3 — æ, identify the domain of () (x). a) { x| x > 0, x ≤ R} b) {x 0 < x ≤ 3, x € R} c) {x 0

Q: Find the absolute maxima and minima of f(x) = (7cos(x))/(8+4sin(x)) in the interval 0 ≤ x ≤ 2pi.

A: To find the absolute maxima and minima of f(x) = (7cos(x))/(8+4sin(x)) in the interval 0 ≤ x ≤ 2pi.

Q: If f(x) In - In( + o). + e6x, find f (0).

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Q: 02: Let f(x)= x' – 7x+ 2, 0sxs1. 1. Show that f(x) has exactly one real root in the indicated…

A: Answer

Q: Find the domains of h(x)=1/(x3+1)1/3.

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Q: 3.) For the functions f (x) = v16 – x and g(x) = 2x – 8 find (x) and give its domain in interval -…

A: It is known that fgx=fxgx.

Q: 3) Let f(x) = and g(x) = 2 +x 1-3 x Compute and simplify (f g) (x), then state its domain.

A: Given: f(x)=x2+xg(x)=11-3x The objective is to find f∘g(x)

Q: Let f(x) = x5 + x³ + 2x? – 1 € Z3[x]. Then x = 1 is a root for f(x) of multiplicity: 2 4 None 3

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Q: Let f(x) = 2x2 - 1 and g(x)= 1 + x². Find (f o f)(x). O x* +2x² +2 4 O 4x4 – 4x2 + 2 | 4 O 2x* + 4x²…

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Q: a). find f o g b.) find g o f

A: Given that : The equation of the functions f(x) = 1x2+ 4  and g(x) = x - 2 .

Q: Let f(x) = x5 + x3 + 2x² – 1 € Z3lx]. Then x = 1 is a root for f(x) of multiplicity: 4 None

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Q: What are the valuesbof x where tge functions f(x) = (3x+2)(x+1)\x+3 is undefined?

A: Consider the function f(x)=(3x+2)(x+1)x+3

Q: Let f(x) = x* + 2x + 3x + 4 € Z,[x). Then x = -1 is a root for f(x) of multiplicity: 2 None 4

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Q: Consider the function f : RH→ R defined by f(x) = 2e(2z+5) log(2r+5) + If f convex or concave ? Why…

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Q: 7, Determine algebraically if each function is even odd, or neither. a) f(x) = |2x| b) f(x) = (-x)²…

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Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x) = V3x +4 Suppose that g(x) = 3x+4. h(x) = %3D

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Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: Given the function: f(x) = (x² + 5x-2, -4<x<-1 7x+|-x], −1<x<3 i. List ALL the elements of the…

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Q: Given that f(x) = 7x + 5 and g(x) = 8 – x², calculate (a) (f o g)(0) = f(g(0))= (b) (g o f)(0) =…

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Q: 3. Let f(x) = { ,x<2 ax + b, x22 Find a and b so that f (2) exists.

A: To find the value of a and b

Q: 2 Let f(x)= 3x - 4 and let g(x) = 2x + 1. Find the given value. fig(3)] f[g(3)] = (Type an integer…

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Q: Find f(x) and g(x) such that h(x) = (f o g)(x). h(x) = (3- 9x)? Suppose that g(x) = 3 – 9x. f(x) =

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Q: Let f(x) — За — 1, g(х) 1, g(x) x + 2, and - h(x) 3x + 4. Perform the indicated operation. (Simplify…

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Q: Find f ◦ g ◦ h where f(x) = |x − 4|, g(x) = 2x , and h(x) = √ x.

A: We have given f(x), g(x), h(x)  We have to find fogoh