5. Which of the following values of x does lie in the domain of the function defined by g(x)=/2x-7? (1) x = 0 (3) x= 3 (2) x = 2 (4) x = 5

Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

A:

Q: For what value of the constant c is the function f continuous on (-∞, ∞)? ( cx2 + 2x x3 - cx if x <…

A: We know that for any value of c, for x &lt; 5, the function is continuous and for x &gt;= 5, the…

Q: 14). a) Consider the function f(x) = x – 2e-* +1 for x 2 0. i) Show that the function is increasing…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: 1 If f(x) = and g(x) =-, 2x +1 1 find f (g(x)) and its domain. - 2

A: Composite function :  A composite function is created when one function is substituted into another…

Q: do you agree with the contention that the functions f(x) = x+2 and g(x)=x2-4 /x-2 are the same in…

A: It is given that, f(x) = (x+2)     and     g(x) = ( x2-4)/(x-2) Then we will prove that f(x) and…

Q: 1. Consider the function f(x) = -x² + 6x and the point P(2,8) on the graph of f.

A: Given data: The expression for the given function is f(x)= -x2+6x. The given point is A(2,8). (a)…

Q: 3 Show that the function f(x) = - 2x + 5x has no relative extreme points. Relative extreme points…

A: Consider the function fx=13x3−2x2+5x Differentiate fx=13x3−2x2+5x with respect to x…

Q: Find the local and absolute extreme values of the function on the given interval.…

A: we have to find the local and absolute extrema of f(x)

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as…

Q: What is the change of y with respect to x of the function s(x) = (3x¹ + 9x³)(x² - 6x +9) ? -9x²…

A:

Q: 2. Consider the following function: y = f(x) = x" – 14x® (a) Determine in which regions this…

A: A function is increasing or decreasing that is determine by    f'(x)&gt;0 or f'(x)&lt;0 A function…

Q: -2 if x 2

A: Given function is : fx=-2 , if x≤0x2 , if 0&lt;x&lt;2-x , if x≥2 To draw the graph .

Q: Here is the graph of the function h(x)on the interval (-5, 5), and part of a line tangent to h(x) at…

A:

Q: For what value of the constant k is the function f continuous on (-∞, 0)? 5x2 – kx + 7 if x 7 k =

A:

Q: Find the net change in the value of the function between the given inputs. f(x) = 3x - 2; from 1 to…

A: f(x)=3x-2now we have to find the net change in the value of function from 1 to…

Q: 5. The coordinates of the hole for the function f (x) x²-4 are: x-2

A: Given function, f(x)=x2-4x-2

Q: 21. Suppose f(x) = A and g(x) = v2*. Find the x-value for which the two functions are equal.

A:

Q: For what value of the constant c is the function ƒ continuous on (-∞, ∞)? cx² + 2x if x 2.

A: We know :- Limit definition at x=a  ⇒limx→a-f(x) =limx→a+f(x)  if function continous at x=a then…

Q: Suppose g is the function defined by picture where k and m are constants. If g is differentiable at…

A: Solution

Q: 2. Find the x-coordinate of the point(s) of discontinuity of the following functions -16 x3 16х — 4,…

A: For x&lt; 3 , f(x)= -16 is continuousFor 3&lt;x&lt;6 , f(x)=16x-4 is continuous tooFor x&gt;6 ,…

Q: For what value of the constant c is the .! function f continuous at x-3 |cx – 2 , if x 3 2 -1 -2 1

A: If function is continous then,limx→n+ fx =limx→n  fx = fnat point nso at given point x=3limx→3+ fx…

Q: 66. What will be the function g(x) resulting from normalizing the function f(x) = x³ − x4 defined in…

A: To find : function gx resulting from normalizing the function fx=x3-x4 defined in the domain 0, 34

Q: /hich of the following best describes the end behavior of a function with an odd degree and negative…

A: We have, Odd degree with negative leading coefficient.

Q: For the function S-a² + 2x if x -1' evaluate the left and right limits.as x -→ -1.

A: Given f(x)=-x2+2x         if x≤-1-x2+2x+2    if x&gt;-1

Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

Q: Suppose thatƒ (1) = 2, that f ' (x) is the function shown in the graph below, and that k (x) = f…

A: Equation of tangent line : y - y0  = m ( x - x0 )  m is the slope of function . And ( x0 , y0 ) is…

Q: . If x is large, which function grows faster, f1x2  2xorg1x2  x2?

A: To determine for the large values of x, which of the functions f(x)=2x and  g(x)=x2 grows faster.

Q: - Find f (x) given f' (x) 6x2 - 4x + 3 and (2, 15) is on the curve of f (x) .

A: To find the function from derivative we need to integrate.Here we will integrate to find f

Q: from x = 1 to x = 4 2

A:

Q: 8. Analyze the differentiability of the following function: f(t) = Vx² – 2 State the restrictions in…

A:

Q: 21. Suppose f(x) = G and g(x) = v2**. Find the x-value for which the two functions are equal.

A:

Q: What is the value for k if f(x) =x² + kr + 13 is an even function?

A:

Q: 6. a. Use an x- interval of 0.0001 to determine the instantaneous range of change of the function…

A: Consider the given function. fx=x4+8x3+19x2+12x The objective of the problem is to find the…

Q: Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x2 − 4/x − 2 are the…

A: I am not agreed with this fact that f(x) and  g(x) are the same in every respect. The reason behind…

Q: 1. Use the second derivative test to find the relative extrema of the following function. f (x) =…

A:

Q: Find the extrema of the function g(x) = x3 using any of the methods given in the above discussion.

A:

Q: 2. Find the value of k so that the function defined by f(x) Sx² + 20 x 5 continuous at x = = 5.

A: We know that, a function fx is said to be continuous at x=a if and only if Left hand limit=Value of…

Q: 1 Use the functions given by fx) 1 and g(x) = x' to find (fº g)¯- %3D X - 125

A:

Q: Determine all critical points for the following function. f(x)=x(8-x)^3

A:

Q: Evaluate: g(f(-3)) y fx) y = g(x) 10 10 6. 3 3456789 10 10-9-87-6 "5 -2 -1 2345678 9 10 -2 -4 to

A:

Q: Determine all critical points for the following function. f(x) =x-12x+3

A:

Q: 38. At what value of x should the function f(x) = In(x – 4) approach to so that f(x) will be as…

A:

Q: Find the rule of the function associated with the following table. 1 3 y 1 4 9 Oy = x² y=x 1 | Oy…

A: As observed feom the graph, we have squared each of the quantity.

Q: 3. Do you agree with the contention that the functions f(x) = x+2 and g(x) x-2 are the same in every…

A:

Q: 21. If f(x) = 2x - 1 an d gx) = 3x + 5, what is f(g(5))? 22. Graph the following equation. 4х - Зу -…

A:

Q: 9. If f(5) = 13, f' is continuous, and f'(x) dx = 16, what is the value of f(6)?

A: Use property of definite integration

Q: Let g(x)= x-2/x+5 and h (x)= x+1/x+5. Then (h+g) (x) is equal to?

A: Topic  =Function

Q: 3 Show that the function f(x) = Vx – 5 is one to one function.

A: The given function is: fx=x-53