B. INSTRUCTION: Perform the indicated operation. rx) = 9x - 15 g(x) = 2x* h(x) = GIVEN: Find: 4. g(x) + f(h(x)) 5. g(5) + g/(h(0))))

Q: (x²-s)' 13. g(x) =- (구+ 4)"

A:

Q: Find the limiting values of x? + 5x-4 (ii) 2x2-3x + 1 as x+ 00

A: Given query is to find the limit of the expression.

Q: Use the equation (x-6)(x+7)/(x+3)(x+4)(x+7) for the following a) what does f(x) approach as x moves…

A: The Given equation is: f(x) = (x-6)(x+7)(x+3)(x+4)(x+7)

Q: 46 less than y is at least -184

A: To form the equation

Q: 18 F6- F E

A:

Q: What effect does the “k” in f(x)= √x+k have on the graph of the square root function, √x and why ?

A:

Q: 2. If g (x) = x² + 7x, find the value(s) of x if g(x)= 18.

A: Topic - functions and quadratic equation

Q: 6. If x#0, which of the followi A x2 B +3 C) x4 D xS

A: We will solve the following

Q: s are non-negative, what is largest possible value for x3. A 10 X3 B X4 11

A:

Q: A) is g(-5) positive? b) for which value of x is g(x) > 0?  c) for which values of x is g(x) =0?

A:

Q: 9. Given the functions /(x) = 2x + 5 and g(x) = x? – 4, find (4) x. b. C. d. 2x-5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Is x =0 in the domain of gex)- x-4x

A: Yes,x=0 in the domain of g(x) Here is detailed proof is given.

Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?Do not include "h′(−1)=" in your answer.…

A: we have to find derivarive of h(x) at x=-1

Q: 1 E. Is a zero of f(x) = 2r* + 3x² – 6x + 7? Explain.

A:

Q: 12x2, 0<x<1, 0<y<1- f(x.y) = 0, elsewhere

A: (a) The variable X and Y will be independent if the equality fx,y=gxhy holds for all values x and y…

Q: Q12- If f(x)=V3x,g(x)=x/5, and h(x)=6x-10, find formulas for the following : d. g(h(f(x)))

A:

Q: f(x) = 0, X # 0, = 1, x = 0.

A: The function is,fx=0x≠01x=0

Q: 83. If f(x) = 2x3 + Ax? + 4xr – 5 and f(2) = 5, what is the value of A?

A: The value of a function at some point in the domain is determined by substituting the point in the…

Q: Q3: Show that csch = coth メ-1"

A:

Q: No 9 f, ) - 8X, X2 onlyer Po.4< X - 0.2) = 2

A: Given, fx1,x2=8x1x2 ,0&lt;x1&lt;x2&lt;1

Q: Find the domain

A:

Q: Let h(x) = f(x) + g(x). If f(x) = 2x² and g(x) = 8x5, what is h'(x)? Do not include "h' (x) =" in…

A:

Q: The profit from producing n quilts per year is given by the function P(n) = -15n² + 240n – 585,…

A:

Q: Let g(x)=4x csc x . Find the (exact) value of 5л g 6

A: Given Data: Function: gx=4xcsc x   The first derivative of the given function is, g'x=ddx4xcsc…

Q: 3. Find the domain of g(x) = v16-x² and h(x) = Vx² – 16. Express your answer using interval…

A:

Q: What is g (x) - h (x) if h (x) = -3x and g (x) = 2x"? Put your answer in standard form.

A: Given: g(x)=2x2h(x)=-3x The objective is to find the value of g(x)-h(x)

Q: Find the value of c so that the domain of f(x) = vc-x² will be [-5,5]. %3D

A: Given,          The domain of fx=c-x2 is -5,5.

Q: . Given f(x)=-x²+4x+12, 05x58: (a) Carefully, graph f(x), 0sxs8.

A:

Q: 8. Use the functionf (x 3x2 – 4x and find the simplified difference f(x+h)-f(x) h quotient using the…

A: Given: f (x) = 3x2 – 4x.

Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?Do not include "h′(−3)=" in your answer.…

A: The problem concerns addition law for derivatives of functions:

Q: (b) Determine the value for x such that P(-x < X < x) = 0.90.

A: Solution-: Given: a=-1, b=1 We find x such that,  P(-x&lt;X&lt;x)=0.90

Q: (t) below, find f'(x). f(x) = (3x³ + 3x²-4).x²

A: Given a function f(x)=(3x3+3x2-4)x2 Formula used : d(xn)=nxn-1

Q: Example. Differentiate f(r) = (4r"-5x+4(72-z). n

A: The given function is fx=4x3-5x2+47x2-x.

Q: Which is the greatest value in the range of y=-5x +3 for the domain (-2,0, 1, 3}? 3. 8. 13 18 OO O O

A:

Q: find the value(s) of x for which fxgx. f(x)=x2+2x+1,g(x)=5x+19

A:

Q: Find the length of QS R x +5

A: For similar triangle, ratio of corresponding sides must be equal.

Q: What is the coefficient of the term contaning the variable h when f(x +h) – f(x) is performed, and…

A: Here we have to determine the coefficient of the term containing the variable h when f(x+h)-f(x)h is…

Q: 3. Given f (x) = 5x² and g(x) = Vx – 3 , what is the domain of (f • g)(x)? Write your answer in…

A: f(x)=5x2, g(x)=x-3

Q: 03. What is the domain for y = x3 + 3x² + x – 4. A. [-0, +∞] В.(-о, 2) С. (2, +о) D. (-0, +∞) E. not…

A: Given,           y = x3+3x2+x-4

Q: Evaluate h(4), where h = go f. 3 f(x)=√x²9, g(x) = 6x³ +9 h(4) =

A: The given functions,fx=x2-93, g(x)=6x3+9

Q: dr For Tatx')(xtan-"(x) + 1) -=In(F(x)) +C. What is F(/3) if C=0? A B -15 -15

A:

Q: g(x) = 15 that approxi

A: Given as, gx=1501+sin4x

Q: What is the domain of f(x) = V5 – 4x – x² ? O A.(-5, 1) А. OB. [-5, 1] В. Oc.(1, -5] С. O D. (-1, 5)…

A: To Determine: Find the domain :

Q: What is the domain of h(x) = 3/1- 2x + 2? Oz3- 시

A: The domain of a function is the set of values for which the function is defined.

Q: 1 S(x) = É +n²x"

A: This is a problem of topology and real analysis.

Q: (b) Find the values of x that satisfy 0.7* ≥ 0.3.

A:

Q: Determine the value of the following: T X(K16)= X(W22)- X(C22)- X(Kose) E3 13

A:

Q: 17. Given f(x) = k(2 + x), find the value of k if f(-2) = -3. %3D

A:

Q: Given f (x) = 6 (1 – x),what is the value of f (-5)? %3D

A: fx=61-x to find the value of f(-5) take x=-5