Consider the functions: ƒ(x) ==—=—-/2₂2 g(x)=√x What is the Domain of the composition fog(x)? O (2,00) O (-∞0, 2) U (2,00) O [0,2) U (2,00) O [0, 4) U (4, 00) O [0, ∞0) O(-∞o, 4) U (4,00)

Q: 5. Lif f(x) = x3 + ax? + bx + c, determine the values of a, b, and c if f(x) switches from concave…

A: Given: f(x)=x3+ax2+bx+c Differentiate the function. f'(x)=ddxx3+ax2+bx+c=3x2+2ax+b Differentiate…

Q: 10-Draw the graph of y=-2 (x-2)²+3 based on the power function f(x)=x' also determine the domain and…

A:

Q: Find f"(x) for the function: f(x) = x – 1. -2(x– 1)-2 2(x – 1)2 O 2(x – 1)-3 -2(x– 1)

A: Derivative of a function

Q: Find the derivative of the function. h(x) = In[(2x + 8)(3x +6)] a. (2x + 8) (3x +6) 1 1 Ob. (2x + 8)…

A: The objective is to find the derivative of the function h(x) .

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: A function f is defined, for x<, by f(x) = 2x² – 6x + 5. (i) Express f(x) in the form a(x – b)² +c,…

A: Please see the below picture for detailed solution.

Q: 3- Find the root of function F(x) = x² – 10 Using XL=3 , X,-4 , ɛ = 0.1

A: given function Fx=x2-10 with condition XL=3, Xu=4, εS=0.1 claim- find the roots of the function

Q: For the function f(z) 2(x – 5) + 7, which of these equations describes f '(r), the inverse of the…

A: We wil use concept of inverse function to find the answer.

Q: The domain of the function f(x)= cosh (x/ 18) is Select one: O [-18, 18 ] OR-{18} OR-{-18, 18 } O […

A: Given- fx=cosh-1x8 To Find- The domain of the function.

Q: 4. Consider the functions k(x)= 27* and m(x) = 9 · 3ª. (a) Are k(x) and m(x) the same function?…

A: Given: Functions k(x)=27x and m(x)=9·3x

Q: Find all points of inflection on the graph of the function f(x)=2e-5x? @卡 A 卡) ⑥六六) B @) (面 (六 E 面)…

A: Inflection point

Q: Find f′(0), where f(x)= (x|x|)/(2+⌊x⌋)

A: Consider the given function fx=xx2+x

Q: Find (a) (f + g)(x), (b) (f – g)(x), (e) (f · g)(x), (4) (4) (x). What is the domain of (d)? 1) f(x)…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the following functions. f(x) = x2 - 8x, g(x) = /x + 15 %3D (a) Find (f o g)(x). Find the…

A: Given :           f(x) = x2 - 8x   and  g(x) = x + 15     To find :  a) f ∘ g(x) and the domain of…

Q: Find f o g o h. 1. f(x)=x-1 , g(x)=√x , h(x)=x-1  2. f(x)=x^4 + 1 , g(x)=x-5 , h(x)=√x Please…

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Q: if f(x)=cospix, find the extact value of a such that f(1)-f(-1)/1-(-1)=cos a.

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Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is concave downward on O (-∞, 2) O (-∞, ∞) O (2, c0)…

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