For the given functions f and g, find the indicated composition. 10) f(x) =- g(x) = 7x + 5 10) (g.)(-6) Find the composite function g. f (x). 11) f(x) = 8x - 5; g(x) = /x+3 11) Find functions f and g so that h(x) (f g)(x). 12) h(x) = 15x +21 12)

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Q: 10- Continuity of the function f(x){*-5 -1<x<2 x² -1 2< x< 3 at x=2?

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

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Q: 21. f(x) on (-3, 5). x² + 5

A: According to question given thatf(x)=x2x2+5 on [-3,5]

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Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: (9) F(<) = { —1, if - п <x<0 1, if 0sxп (h) f(x) — f -х, х, -1<x<0 0<x<1 if if

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Q: Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f,…

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Q: 3) f(x) = x--x- 1; [3] [1, -1: 01.4 5) f(x) = 2x² - 2x -1; 4) f(x) = −x- - x + 1; [2, 1 x-1 6)…

A: Average rate of fx change over interval a,b=fb-fab-a

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A: In the question we have to find inverse of the given function and domain of the function.

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A: Graph: For (1), Given: f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. From the graph, it can be…

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Q: Find f'(x). F(x) = x5 – 4x3 + x - 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given, f(x)=x5-4x3+x-1

Q: the Domain (Dr) and Range (Rr) of the following function 4 f(x)=; V25-x4 O Df=[-5,5], Rf=[-2/5,…

A: The domain is a set of x-values where the function is defined. In other words, the domain is the…

Q: f(x)= 5x² -3x X-3 Equation 1 Given that 5 -f (n–1)–3-f(n) f(n+1)=- Equation 2 --- n+2 Use Equation 1…

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Q: 17. Find the end behavior for f(x) = -3x - 2x -7 A. x- +o, f(x) +0 x -o, /(x) - - B. x-+o, /(x) -00…

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

Q: find all critical numbers of the function f(x)= 4x^4-42x^3-360x^2+35

A: Given, f(x)=4x^4-42x^3-360x^2+35

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Q: Find all the critical numbers for the function g(x) = ¼ x4 - x3 - 5x2

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

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Q: Find the absolute maximum values of f(x) = 2x^3 +  3x^2 + 4 on the interval [-2,1].

A: Given: f(x) = 2x3 +  3x2 + 4

Q: 4. Differentiate the function. (1) f(x)= in x (2) f(x)= In{x (3) f(x)= In- 2x²(x+2)³ (3x- 2) (4)…

A: HI there, At a time we can answer only one question. So, I have answered first question.

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A: Answer is following.

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Q: 4 find the domain of the composite function, f(g(x)). 1 Given f(x) and g(x) 4 x – 3 Write your…

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Q: The critical points for the .function f (x) = 6æ° + 33a* – 30x + 100 X=-5, x-0, x=3/5 x=5, x=0,…

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Q: Which of these is fixed point equation for f(x) = x*+5x²-x-3. O f(x)=-x = x*+2x²-x-3 O f(x)=|x |=…

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Q: The critical point of the function f(x) = x³ – 5x² + 2x – 17 is %3D - o (용, 1) ㅇ (름, 1) o (음,-1) (금,…

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Q: (1) Find and classify the extreme values of f(x) =6x* -4x over the interval [-2,2].

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Suppose that the function f(x) is concave down on the interval (2,5). Can conclude that the function…

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Q: The function f(x) : (2х — 6)е has one critical number. Find it. - x =

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Q: (4x³ + 42x)(x² + 7)² - (xª + 21x²) · 2(x² + 7)2x (x² + 7)4 (G) f"(x) %3D 14x(21 – x²) (x² + 7) Since…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.