) Given that f(x) = 2x + 5 g(x) = 3x – 5   and h(x) = 2x + 3                                                             2                             x     Find:-          i) f(-4) =                      ii) g[f(2)] =                  iii) f[g(-3)] =                                       iv) hᴏf(x)                     v) h-1(x) =

Q: Given f(x)=2x^2+1 and g(x)=8x-9 Solve for (fof)(-2)=

A: Given: f(x)=2x2+1 and g(x)=8x-9. Now, we need to solve for (fof)(-2).

Q: 4. Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not…

A: 4. cubic equation must have at least 1 real solution so it must have cut the x-axis once since if…

Q: diau uonsann Suppose the average number of vehicles arriving at the main gate of an amusement park…

A: Answer: (a) The admittance is about 20 vehicles per minute. (nearest tenth value) (b) 3 attendants…

Q: Find the critical numbers of the function. f(x) = x3 + 3x2 − 45x

A:

Q: Find the critical points of the function f(x)=2x^2−4x.

A:

Q: F(x)=2x^3 and g(x)=-3x^2 +1, Find a)(fog)(1) b)(gof)(-1) c)(fof)(2) d)(gog)(-2)

A:

Q: -3х - 4 х-1

A: Increasing interval : Interval in which graph goes upwards Decreasing interval: Interval in which…

Q: 3 Given that f(x) = 3x + 7 g(x) = 4x + 5 and h(x) =3x-5 2x 13 find hf(x)

A: Explained below

Q: The revenue from the sale of x manual food processors is given by R(x)=33x−0.3x^2dollars. The total…

A:

Q: If f (x) = x* and g(x) = x³, then f'(x) = 4x³ and g'(x) = 3x². The Chain Rule %3| multiplies…

A: It is given fx=x4, gx=x3, f'(x)=4x3 and g'(x)=3x2.

Q: revenue from the sale of x mineral-based makeup sets is given by R(x)=42x−0.4x^2 dollars. The total…

A: Given query is to find the interval where profit is increasing and decreasing.

Q: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.

A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4

Q: Find critical points of f(x) = 3x^2 +12x -2

A: We have to find critical points of  f(x) = 3x2 + 12x - 2  To find critical points , differentiate…

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =…

A:

Q: 1 7. f (x) = 3x² - x + 6 Opens up/down: Vertex: Axis of symmetry:

A: We can answers first three parts of the question as per the honor policy. Please resubmit other…

Q: dæ - x² – 10a – 21 -x – 3 - In x + 7 -æ – 3 -In +C +C x + 7 A x + 7 æ + 7 -In -x - 3 +C -In -x – 3…

A: Here we will solve the given intigral,

Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of…

Q: The revenue and cost function for a created of alarm clocks are about R(x)=520x-0.01x^2 and…

A:

Q: Find all critical numbers of f (x) =8r³+39x²+ 18r– 4 (A -3, -

A: We have f(x) = 8x3+39x2+18x-4To identify the critical values, we differentiate and find values of x…

Q: 3) Ar) = VF g(x) = V-(r + 2) – 3 4) Ax) = VF g(x) = - Vx + 3 5) Ar) = Vx g(x) = -2 Vx - 1 6) Ax) =…

A: We have to find translation

Q: 1. Find the critical points for f(x) = 3x5 – 20x3.

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

Q: If the total revenue function for a blender is R(x) = 84x − 0.01x2 where x is the number of units…

A:

Q: Graph the following functions.

A: The function: fx=-2x-1if x<-11if -1≤x≤12x-1if x>1

Q: Determine the critical points of f (x) = 5x ^ 2 + 4x.

A:

Q: Differentiate: g(x)= (2x³ – 1)(x³ + 2) g'(x) = 10x* (2r³ – 1) + 3r²(r³ + 2) g'(x) = 10x“(2³ + 2) –…

A:

Q: 13, Consider the function f(x) = x + 4x2 + kx - 4. The remainder from f(x) (x + 2) is twice the…

A:

Q: (9x-10) where "a" is f (x) = -i F (x) = 30

A: Follow the procedure given below.

Q: find the critical value of F(x)= 10x^2 + 12x +5

A: The objective is to find critical value of F(x).

Q: on points of f(x) = 4xª + 38x³ – 30x² + 10. (Give your list e g 3.-2) answ

A:

Q: Show that the equation x³ – 3x – 1 has three solutions in the interval [-3, 3]. 1. Let f(x) be equal…

A:

Q: Suppose g(x) = x² +2, then g(x+h) will yield to A x+2xh+h2+2 B x²+2xh +h+2 x2 +2xh +h2 +2 x²+2x+h?…

A:

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A: Consider the provided question, Yes, cubic function have at least one real root (x-intercept) but…

Q: Show that the equation x³ – 3x – 1 has three solutions in the interval [-3, 3]. 1. Let f(x) be equal…

A: We need to choose correct options.

Q: (b), f(x) = In (x² – 4)

A: Since you are asking only for b. Here is your answer.

Q: The line tangent to y = ƒ1x2 at x = 3 is y = 4x - 10 and the line tangent to y = g1x2 at x = 5 is y…

A: The line tangent to y=fx at x=3 is y=4x-10 & the line tangent to y=gx at x=5 is y=6x-27. Put x=3…

Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x

Q: f(x)=x^4-x^3-12x^2

A:

Q: A goldsmith finds that the demand for gold is governed by p(x) = –x² + nx, where z is in (troy)…

A:

Q: -8x Since f'(x) then (x2 - 4)2' (x? – 4)>(D) - (-8x)[2cx? – 4)(Ox)] _ 8 x2 f"(x) (x2 (y2

A:

Q: In Problems 21–32, use Descartes’ Rule of Signs to determine how many positive and how many negative…

A: Use Descartes’ Rule of Signs to determine how many positive and how many negative zeros each…

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A: Answer

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A: Given, the cost equation is Where x is the number of the piece of equipment used. We have to the…

Q: In a certain company, the income from the sale of x thousand pieces of products is given by I (x) =…

A: We first try to find the profit function.  Profit= Income - Cost…

Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…

A:

Q: Suppose that 2 sf (x) < 4 for all values of x. What are the minimum and maximum possible values of…

A:

Q: с. X-3 -3)x' +x² -1- -14x+3 x -1 d. X-1

A:

Q: Find the attractive fixed point of g(x) = 4x - x2 4 | 2

A: Fixed point: The point of intersection of y=f(x) and line y=x are known as fixed points: Example:…

Q: 2х—4 -? x² - 5x 8. What x-value(s) are excluded from the domain of f(x)= 2

A: Domain  set of all input values where function defined

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.