- x (a) Determine whether f(x) is even or odd or neither. x2 + 1 (b) Determine whether g(x) = x° – 4xª + 3x³ – 2x² + x – 1 is even or odd or neither. (c) Show that any function can be written as the sum of an even and an odd function. Show how g(x) above can be written as the sum of an even and an odd function.

Q: 4 X- - 5x +4. %3D Find f'(x), f"(x), and f (x) for f(x) = f'(x) = f"(x) =

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Q: B. Find the domain of 1. h(x) = V(x - 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1. 3. If f(x) = -1 and…

A: h(x) = (x-2)x-2 ≥ 0 because square root of -ve number is not defined or a imaginary number.x-2 ≥ 0 x…

Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros

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Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: Find the general solution of  f '(x)=(1/x2) , x>0 and f(1)=0

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Q: 3-x • The domain of f(x) = is 1-x2 1. R 2. R/{1,-1} 3. R/{3} 4. (0, co)

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Q: 16. What is the vertical asymptote of the function f(x) = ? A. x = 3 B. x= -3 & x = 3 C. x =-3 D. x…

A: The given function is: fx=x-3x2-9 The objective is to find the vertical asymptote of the given…

Q: 4. f(x)=: 1-5х Find (fog)(x), and give its domain. 1 8(x)= -

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Q: f(x)% 3D -x2 f(x) = -x2 0. 0. 土4 土3 ±2 -1 土1 士4

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Q: 1- V1+ 36x2 Let f-(x) = 2x V1+ 36x? 2x f(f-(x)) %3D 1. V1+36x 6. - 2x

A: Here, the given function is: f-1(x)=1-1+36x22x Let,…

Q: х-5 Determine the equations of any horizontal and vertical asymptotes of f(x)= x²- 25 horizontal: y…

A: To determine the equations of any horizontal and vertical asymptotes of fx=x-5x2-25.

Q: What is the ordinate of the point where the graphs of the functions f (x) = arccosx and g (x) =…

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Q: 4 -2 Find: f (B) where f (x) = x^2 + 2x – 22. f(B) 1 -6 Let B =

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Q: 19) given a function f(x) in factored form, f(x)=x^2(x-3)^2(x+1)^3(x-1)^5 use the zeros of this…

A: Solution: The objective is to graph the given function

Q: x² -9 f (x) = is 0<x<5 and x=33 at the point 3 x² – 2x – 3° - 1.5

A:

Q: -3 f( x = 3 – 2 e7, — 2 е -3 18 12 - е z 1. Find domain of f(x)

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Please show step-by-step solution.

A:

Q: The L2(x) of second degree Lagrange's polynomial is (x-x,)(x- x2) (Xg = XoXXq =Xq) (X2- X0)(x2=Xq)…

A: According to question we have to calculate the second degree Lagrange's polynomial  .

Q: Q2:- (x²-9 | X # -3 A) f(x) x+3 %3D -6 x = -3 Is f cont. at x =-3 ?

A: Continuity of function

Q: 16. What is the vertical asymptote of the function f(x) = ? %3D x2-9 A. x = -3 & x 3 B. X 0 C. x 3…

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Q: f (x) = 7x^2 - (3 x) + 1 and g(x) = 8 x - 2 Find f (1) = and g(- 1) =

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Q: The horizontal asymptote(s) of the function Зх- 5 f (x): %3D x - 2

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Q: B. Find the domain of 1. h(x) = (x – 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1 and g(x) : x + 3 -1 3. If…

A: Domain is the set of all possible values of x (independent variable) for the function.

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: 15-18. Find the extrema of f(x) = 3x - 4x³ on the interval [0, 2].

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Q: 2-K2 a. h(x) = where k is a constant %3D

A: here we the quotient rule to find the derivative ddxuv= vdudx -udvdxv2  According to our guideline…

Q: x+1 Ex: Find the domain of f(x) = %3D x2-9

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Q: 3-5x 11. Find f'(x), if (i) f (x) = (x² – 1)(x5 + 2)+/3, and (ii) f (x) (x3+2)1/3*

A:

Q: 15. (a) Sketch the graph of f(x)= 2sin.x+3 on 0sxs 2n. (b) Find the zeros of f(x) on 0sxs2n.

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Q: a. Find the horizontal and vertical asymptotes for the fuhctloh 6-2x y=73-x2 + 12x %3D b. Use the…

A: Since there are multiple questions the first question is answered.Kindly repost with the question…

Q: p²/ f(x)= x²³_ +|x x +2. show that f(x) & between хбо a root has 1.4 and 1.5.

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Q: x2 – 4 - a) f(x) = b) f(x) = x + 1 1 i) Find the domain and, if any, the intercepts of f(x). ii) If…

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Q: 3) "s) Determine the highest real root of f(x) = 3x' +11,8x -17,8x-6 a) Graphically,

A: f(x)=3x3+11.8x2-17.8x-6from below graph, highest real root is x= 1.386

Q: 3 x>2 12 Sketch the graph of f:R→R f (x)={2x-1 -1sxS2 -2 x<-1 At what points is the graph…

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

Q: x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/…

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Q: Q2:- (x²-9 A) f(x) = |X # -3 x+3 -6 x = -3 Is f cont. at x =-3 ?

A: We can concept of limit in order to solve the given problem.

Q: f(x) = x² – 1 chen f(a – 1) is equa

A: Given    f(x)=x2-1 Then find f(a-1)

Q: 4. f(x) = a = 0 x2-4x %3D x2+4x x?-3,xミ-1 5. f(x) = {x- 1, x>-1 こa=-1 %3D

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Q: f(x) = 1- 2x and g(x) = 1- x. Find (fo g)(x). %3D 4x - 1 2x 4x 2x - 1

A: Given  f(x)=1-2xand g(x)=1-x

Q: The horizontal asymptote(s) of the function 3x 5 f (x) %3D x - 2

A: horizontal asymptote is at f(x) =0

Q: x- 2x-3 x - 9 11. What are the equations of the vertical asymptotes of y = a. x= 1, x=-3 b. x=-3, x…

A: Solution is in step 2

Q: Can I get with this problem step by step?

A: To find: -

Q: Find the equations of the vertical and horizontal asymptotes of the functions: f(x)= x2+2/2x-6 g(x)=…

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Q: 6. The vertical asymptote of f (x) = (a) x = 2 (c) x = ±3 (b) x = -3,2,3 (d) y = 0

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Q: f(x)= (x)/(x-2) AND g(x)= (6)/(x2-1), find f(g(x)) and its domain

A: We have given the functions

Q: 6. f(x) = x² – 4x, g(x) = 2-3E %3D a) (f - g)(-5)

A: Given: f(x)=x2−4xg(x)=2−3x

Q: 2-1 g(x) = 2x+2x+1 Q2) Find the asymptotes for the following functions: f(x)=D 1+x2 2x

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Q: 1. a) Find the point of inflection(s) of f(x) = x³ – 6x2. If an answer does not exist write DNE) b)…

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Q: 9. Find the difference quotient f(x+h)=f(x) h # 0 for the function f (x) = 3x² + 3x47 2.2x2-1 ex2-1…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.