f(x) = 8x² – 3; g(x) = 3 – %3D -

Q: The cost and revenue functions for a certain firm are given by  C(x) = 15x + 36,000  and  R(x) =…

A:

Q: 9) Find f(-2). f(x)=3x2 - 8x + 7 My Answer: 10) Given f(x) = x2 - x³, find f(-10). %3D My Answer:…

A:

Q: 3. Find f'(x) for f(x) = v5 + e2x xe2x-1 А. V5+e2x 1 2v2e2x С. 5+ e2x e2x D. V5+e2x V5+e2x B.

A: In this question, concept of chain differentiation is used in this question.

Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

A:

Q: The critical points of the function f(x) = 5x² – 6x + 12 are %3D

A: A critical point of a function of a single real variable, f(x), is a value x0 in the domain of f…

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C?

A:

Q: The critical points of the function f(x)= 3x² -36x+1 are

A: To find critical point lets take first derivative of f(x)  and put f'(x) =0

Q: (f) What is the first-order condition implied by unconstrained maximization of I1 X 1333 X, where x…

A:

Q: 9. Given f(x)=4x+3 and g(x)=x, find (g•fXx) 10. Given f(x)=x-1 and g(x)=xr +2x-8, find (gofXx)

A: Question no. 9,Given,            fx=4x+3  and gx=x2

Q: 2) Find the fixed point of the functions : A. f(x) = x² + 5x + 3 B. f(x) = x³ – 4x² + 6x – 2 C. f(x)…

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Q: Find the local maximum and minimum points of f (x) = (3x - 1)3.

A:

Q: Let f(æ) = (2x² + 1)(3z + 5). %3D The sum of the coefficients of f'(x) is equal to

A: Find derivative and sum of coefficient.

Q: Determine critical points of the function f(x)=∣∣x2−4x+3∣∣.

A:

Q: If f'(x) = x³ – 2x* + x³ + 2, then f has inflection points at

A:

Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: Given f(x) = 3x+2 and g(x) = 3x-9, find (f-g)(x) - (g/f)(x) %3D %3D 30x+101 3x+2 30x-31 3х-9 30x+31…

A:

Q: Can you check it please?

A: To verify thesteps in the  simplification

Q: The function f(x) =x³ – 3x2 + 3x -1, x e R has a point of inflection | at A) x = 1 B) x =-1 C) x = 3…

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

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Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

A:

Q: 6. If f(x) = x - 1 and gx) 3x + 10, what is f(g(-6))? %3D %3D

A: Given,    f(x) = x2 -1 g(x) = 3x + 10   To find : f(g(-6)) =?

Q: x²-3x-4 if x>-1 x- 4 if x < -1 10.Why is f(x) = %3D x-4 discontinuous at x = -1?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: 16) Find (f • g)(x) for f (x) = 4x³ – 5 and g(x) = 2x. %3D -

A:

Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

A:

Q: If f(x)= 2x2 and g(x)=3x+1, what is f(x)-g(x)? O2x+3x+1 O2x2-3x-1 O2x2-3x+1 O2x+3x-1

A: Given, fx=2x2 and gx=3x+1.

Q: What are the critical points for the function f(x) = x³ + 6x² – 36x + 7. %3D

A:

Q: 1. Find the domain of the functions. A) f(x) = 3x+1 15x-1|-4 B) f(x) = x2-7x+12 x+ 5

A: To find the domain of the following functions.A fx=3x+15x-1-4B fx=x2-7x+12x+5

Q: f(x)=x2+3f(x)=x2+3 and g(x)=4x+1g(x)=4x+1, what is f(g(2))f(g(2))?

A:

Q: 3. For the function f (x) = 4x2 – 25, a) find f(-1) - %3D %3D b) find all x when f (x) = 0

A:

Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: The Cost function C(x) and the Revenue function R(x) of a firm are given by C(x) = 4x +1200 and R(x)…

A: Given that the cost function Cx=4x+1200 and the revenue function is Rx=10x. We have to find the…

Q: When professors select texts for their courses, they usually choose from among the books already on…

A: fx=20-15e-0.2x

Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:

A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…

Q: 1 a) f(x) = +2 x + 3 - b) f(x) = 2x+2²_3

A:

Q: 10. Given the functions /(x) = 3x² + 2x + x+1 and g(x) = 2x² – 1, find (f - 9)x. a 3x +x b. 3x +x+2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If f(x) = 3x - f(3) – g(2). 4 and g(x) -x², find the value of %3D 系 跳,, are

A: We can find the answer as below.

Q: 2 Let f(x) = V5x² + 4x + 8 f'(x) = f'(3) =

A: Given : fx = 5x2+4x+8

Q: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows:

Q: What is the relative maximum value of the functionf (x) = x³ – 6x? + 9x – 12? f(x) has a relative…

A:

Q: The domain of the function f(x) Зх-12 is V2x-4 %3D a) {x/x > 4 and x + 2} b) {x/x > 2 and x # 4} c)…

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Q: What is f (2) if the linearization of f (x) at a = 2 is L(x) = 2x + 4?

A:

Q: 21. If f(x) = 2x - 1 and g(x) 3x + 5, what is f(g(5))? %3D %3D

A: Given, f(x)=2x-1 g(x)=3x+5 f(g(5))=?

Q: Find (f-1)'(a). f(x) = V 3x3 + 3x2 + 2x + 1, a = 3 (f-1)'(a) =

A: inverse function derivative

Q: 7. Find f'(x) for the function f (x) = V-3x4 – 2

A:

Q: 8. Given the functions f(x) = 2x +5 and g(x) = x² - 4, find (f +g)x. a. 2x + 5x - 8x – 20 b. 2x - 5x…

A: As per our guidelines we are supposed to answer only one question i.e. the question no (8). For the…

Q: The fixed-points of f(x) = (x² + 2) a and

A:

Q: 1. Find fog. f (x) = -4x + 6 A) (fog)(x) =-5x B) (fog)(x) =-4x² + 30x – 36 C) (fog)(x) =-4x + 30 g…

A: f(x)=-4x+6g(x)=x-6

Q: -3x +4, x < -2 2²-2, x2-2' If f (x) = find f(-2). %3D

A: Given To evaluate  f(-2)=?

Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.