3. Find the domain of the following functions: 7x2- 5x- 2 (a) f(x) = x2+ x- 6 g(x) =/2r2+ 5x+ 3 (b) 1 h(x) = (c) x2- 3x – 4

Q: The critical points of the function f(x) = a2– 14x + 12 are

A: Given function is f(x) = x2 - 14x + 12 Critical point of the function is the point in the domain…

Q: Find the critical points of the function f(x)=x4−5x4+5x3−1.

A:

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

A: The critical points of a function are the points at which the function is defined but its derivative…

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: 4. Find the points of local maxima and minima for the function f(x) = x* – 18x2 – 9

A: To Determine: Find the points of local maxima and minima for the function…

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: find the critical points for the function f(x)= 2x³ – 3x² – 72x-11

A:

Q: Suppose you have a function y = f(x) such that the domain of f(x) is 1 ≤ x ≤ 5 and the range of f(x)…

A: Given: The domain of fx is 1≤x≤5 The range of fx is -3≤y≤6

Q: Find (fo g)(x). f(x) = 5x - 2, g(x) = – x² + 4x -1 O-5x2 +20x - 7 %3D | -25x2 + 40x - 13 5x +20x -7…

A:

Q: Find the domain of the function. 29) f (x) = v25 – x2 30) f (x) = 3x + 4 31) h(x) 32) h(t) = |t + 1|…

A:

Q: Find the critical points of the function f(K)-7x2-14x.

A:

Q: 3. Find f (x). 2 f "(x) = 18x –- f(1) = f '(1) -

A:

Q: b- Determine the critical point of the function f(x) = x5 – 5x* + 5x³ –- 1 %3D

A:

Q: 22. Find the maximum or the minimum value of f(x)=-2x² –10x+5. SLO 11

A: To find the maximum and minimum values of the function

Q: If f(x)=1/5x^5 - 3/4x^4 - 4/3x^3 +60, then what is the set of c value for which f has a relative…

A:

Q: Given the function f(x) = 1/2x4 – x3 – 2,

A: Given function is fx=12x4-x3-2     .....1

Q: If f(x) = x -kx^-1 has a relative maximum at x = -2, then the value of k is

A: We have to find value of k.

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: 2. 1. f (x) = x° – 4x – 5 g(x)3Dx5 a) Find(-)æ x + 5

A: Consider the functions

Q: 2. Begin by graphing the standard quadratic function f(x) = x² . Then use transformations of this…

A: 2.   The given function,   gx=-12x-22+1

Q: If f(x) = 3x-1 +4 and g(x) = 4x-7, what is (f- g)(x)? %3D O A. (f-g)(x) = 3x-1 - 4x- 3 %D B.…

A:

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

A:

Q: (a) f(x) = 2r3(3 – 4x)

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: When no more than 110 units are produced, the cost (in dollars) of producing x units is given by…

A: Given: C(x)=0.2x3-25x2+1531x+25000

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

A: Follow the procedure given below.

Q: The critical points of the function f(x) = 4x³ – 48x +1 are a. 2,– 2} b. d.

A:

Q: Analyze the critical points of f (x) = x3 − 27x − 20.

A: Critical points of a function at which f'(x)=0 or f(x) is not defined.  f(x)=x3-27x-20 f'(x)=3x2-27…

Q: 8. Find (f+g)(x). f(x) = 5x² – 9x + 8 g(x) = &r2-7x + 2 A) (f+g)(x)= 13x - 16x + 10 B) (f+g)(x)=-3x…

A:

Q: The function f(x) = 4 – 7x* has an absolute maximum value of and this occurs at x equals

A:

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 9. f(x) = 10x +…

A:

Q: What are the critical points for the function f(x) = x³ + 9x² + 15x – 8 %3D None x = -1 and x = -5 x…

A:

Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

A:

Q: The critical points of the function f(z) = 9x² - 8x + 16 are

A:

Q: If f(x)=1/5x^5-3/4x^4-4/3x^3+60, then what is the set of x values for which f has a relative…

A:

Q: manufacturer finds that the revenue generated by selling x units of a certain commodity is given by…

A: Given query is to maximize the revenue.

Q: 3) Find domain of the following functions X-2 a) f (x) = : x2-4x-12 Solution: b) f (x) = x² – 7x + 3…

A: Solution of question as follow

Q: find the maximum revenue for the function R(x)=356-0.9x^2

A:

Q: 4. Use a calculator. f(x)= 2x-x g(x) =-x -1 %3D

A:

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

A: Given : fx=-4x+6  gx=x-6

Q: 1. f(x) = -2x 2. f(x) = -2x + 2 3. f(x) = -2x² – 5

A: Given: fx=-2x, fx=-2x+2, fx=-2x2-5 We know that ddxxn=nxn-1…

Q: Find the mascimum or minimum value of the function. F(x) = 2x² + 8x - 1

A:

Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval.…

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: The function f (x) 4 +3 3x2 + 20 has all the following critical points except 3 -- (А) 4 (в) 2 -3

A: For critical points put first derivative=0

Q: B4: a) Find and classify all critical points of the function f(x) = x³ + 3x² – 12x + 5

A: In the question we have to find critical points.

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.