na Find the set of positivity of the function f(x) = 3√x+2-x-4, that is, the set of x such that f(x) > 0. O (A) [1, +∞0) O (B)[-1,2] O (C)[-2, -1) O (D) (-1,2) O (E) [-2, -1) U (1, +∞)

Q: Q2: (a) Determine which of these functions are injective, surjective, and bijective. The function f…

A: a:Given are the following functions:i fx=2x+1ii fx=exiii fx=x3-3xTo find that the following…

Q: Express the function h(x) 4 in the form h(x) = (ƒ o g)(x) where f(x) # x and g(x) # x. 1+ e0.4x а)…

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Q: 2. Which shows that f(x) = 5x² -2 and f-¹(x)=√√2 are inverse functions? O522 -2= *52…

A: If f(x) and f -1(x) are inverse functions then  (f∘f -1)(x)=(f -1∘f)(x)

Q: Consider the function f(x) the difference quotient = 7 x²+1/ 3 4 -X-2. Compute f(xo+h)-f(xo) h

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Q: If f (x) = x2 + 2x + 1, find f (x +1). O a) f (x + 1) = x² + 2x + 2 O b) ƒ (x + 1) = x² + 4x + 3 O…

A: Given f(x) = x2 + 2x + 1

Q: Can you please find (f o g o h)(x) where f, g and h are defined, and it's in the attached picture.…

A:

Q: The function f is given below. Find f1(x). 2x-4 f(z) = %3D x-5

A: to find an inverse function, interchange variables, and solve for y

Q: Let f and g be the functions defined by f : R → R+ ∪ {0} with f (x) = x2 and g : R+ ∪ {0} → R with…

A: (fog)(x) is the value of the function f(x) at g(x) (fog)(x)= f(g(x))

Q: Given the functions f(x) = x? - 3 and g(x) = 2x + 1, find... a) f(g(x)) b) g•f(x) c) d) gog(x) e)…

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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: 21. Given the functions f(x) each: a.) (fog)(x), = 1 x + 5 and g(x) √2-x, find the following b.)…

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Q: The domain of f(x) =/4 – x +V x – 4 is (- 4,4] R – {4} (-00,4] [4,00) None of the above

A: Solution:Given   f(x)=4-x+x-4To find the domain of f(x)

Q: Let f(x) = √√√x, g(x) = x + 8 and h(x) = Compute the following uction value. X (f+g)(16)

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Q: How many solutions does x^2+bx=c have if c< -(b/2)^2?

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Q: Find all real zeros of the function. f(x)=-3(x-4)²(x+7)³ If there is more than one answer, separate…

A:

Q: 5 The domain of the function f(x) = is. (x– 3)(x– 2) %3D a) R– {2,3} b) R-{-2,3} c) R-{-2,–3} d)…

A: Option (a) is correct

Q: An amusement park manager recorded the number of visitors of different ages who came to the…

A: Ques - 3 Given, An amusement park manager recorded the number of visitors of different ages. Data…

Q: (f •f)(-4) = (g • g)(1) = (g o h)(0) = hox) g() 2 -1 01 2 3 4 T(X) 2.

A: The graph of the functions fx, gx and hx are To evaluate: f∘f-4, g∘g1 and g∘h0

Q: Are the following functions monotone in x? Explain your answer. (a) ƒ(x) = x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Check which of the following define linear transformations from R’ to R T(x1, X2, X3) = (x1 – X2, X1…

A:

Q: Suppose that f(x) is a function such that f(5) = 0 and f(x) is positive for all x 5. What is the…

A: Find the domain of function g(x)

Q: Let two functions be f(x) = x2 - 4 and g(x) = (fo g)(x)? What is (fo g)(x) -4 %3D x2 +8x+16 (fo…

A: Given:fx=x2-4   and gx=1x+4f∘gx=?

Q: Use the function f(r) given below to answer the questions that follow. f(r) = – 2(r+1)(r – 3) (r –…

A: The given function f(r)=-2r+1r-33(r-1)

Q: 1. Determine whether each of these functions is O(x). a) f (x) = 10 b) f (x) = 3x+7 c) f (x) =…

A: As per the policy, we are solving three parts. Please repost it and specify which part is to be…

Q: Discuss the monotonicity of g (x), where g(x) = 2f + f(6-x) for all x e R. 2

A: Test for monotonicity:           let us consider a function is continuous on [a ,b] and it is…

Q: Find all points of inflection of f (x) = In(1 + x²) O -1, In2), (1, In2) O (-1/sqrt(2), In(3/2)),…

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Q: ) = , 1 as x → 3+? What is true about this function f( x x2 -9 O f(x) O f(x) → 0 from below O f(x) →…

A: