20) What is the domain of the function f(r) = E

Q: How can I explain what it means for a function f(x) to be O(1)?

A: The 'f(x) to be O(1)' is to be read as function f(x) is of the order of 1.  Now refer to step two to…

Q: Let h(x)=f(x)g(x). If f(x)=3cos(x) and g(x)=3x3 +2x2 −x+4, what is h′(x)?

A: f(x)=3 cos (x) g(x)=3x3+2x2-x+4 h(x)=f(x) g(x) We need to find h'(x)

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: Find f′(x) and f′(c). Function f(x) = (x − 4)/(x + 4) Value of c = 3

A: Now differentiating with respect to x, we get

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: 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: 4. Consider the function 1/3 V3 + x f (x) X – 1 а. Find the domain of f.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: When a function is discontinuous at x=2, does that necessarily mean that 2 is not in the domain of…

A:

Q: Determine all critical points for the following function. 128 f(x) =x? +

A:

Q: 4. State all the values of x in which f(x) is not differentiable. Justify your answer. b) f(x) = - 2…

A: Given: 4. State all values of x in which f(x) is not differentiable.(a) From the graph given above…

Q: 2. What is the lilm f(x)?

A: From the given graph in extreme left side we can clearly see that. If x tends to minus infinity then…

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: Consider f(x) = 3X. What is the best approximation for f'(2)?

A:

Q: If f(x) is a differentiable function such that f'(-2)=-1 and g(x)=f(3x+1), then what is g'(-1)?

A:

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: The best suitable method to approximate a zero of the function f(x) = e* – 1 is:

A: Given f(x) = ex - 1

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is: |

A: Given,                 f(x)=ex-1

Q: For what value of c is the function f(x) = = C= C 7 2-4 (x+2)(x-3) x==2 x = 1 otherwise continuous…

A: Given :fx=c,      x=-27,        x=1x2-4x+2x-3   otherwise

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: Where is the function y =4x/x-3 concave downward? Show mathematical work to clearly answer this…

A: For a given function y=f(x) the curve is concave downward in an interval I when the second…

Q: 2.Find an example different from the one in the text showing that (f ∗ 1)(t) need not be equal to…

A:

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: 1) The function f(x) = x + 4 is odd True O False

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

Q: For what value of the constant c is the function f continuous on (-o S cx2 + 8x x3 – cx if x 3 с 3

A:

Q: The function h(x) ==x-1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

A: Please refer the attached image for complete solution. Given : hx=43x-1, hx=fgxfx=2x-1To calculate :…

Q: Suppose ƒ is an odd function,Evaluate function

A: Given:∫04 fx dx=3,∫08 fx dx=9∫-84 fx dx=?Odd function:∫-aa fx dx=∫-a0fx dx +∫0afx dx=-∫0afx dx +∫0a…

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: 21. What is the domain and range of f(x) = V– In x ?

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: 4. Find the functions f(x), g(x),h(x) that satisfy: f(g(h(x))) = 2.

A: A composite function is created when one function is substituted into another function .

Q: Show that the function is discontinuous on R. f(x) = { 1; 0; for x € Q for a Q

A:

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

A:

Q: 1.) Let f(x) = 7 + What is f(3 + h)?

A:

Q: What happens to the function f (x) = 1 + as x approaches to zero.

A: The definition of the function gx=x is given by, gx=x for x≥0=-x for x&lt;0 Thus, the left hand…

Q: If f(x) = 7cos(x), what is f'(x) ?

A:

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

A:

Q: f(c) {}} [=+3 = < (3x + 1

A:

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

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: Let h(x)=f(x)g(x). If f(x)=2x2+1,g(1)=0, and g′(1)=−1, what is h′(1)?

A:

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: 1. Let f(x) = 2 + 13 f '(z) =

A: We have to use properties of inverse function here.

Q: Compute f(c+h)−f(c) at the indicated point. f(x)=6x2​; c=4

A: Given : Function : f(x) = 6x2   To find : f(c+h)−f(c) at c = 4.

Q: What is the x-value associated with the extreme point of the following function: 1*1.1^x+ 1*0.2^x?

A: Given Data: Function: fx=1×1.1x+1×0.2x The derivative of the given function is,…

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

A:

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

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