Given f(x)= = 6 js( Find f(x) dx. 0 82 2 -x+6 for 0 ≤ x ≤2 for 2< x ≤4 for 4 < x < 6

Q: 1. Let f(x) = 2x² + 1 and g(x) = [x]. Find the following. (a). What is (f ○ g)(x) = f(g(x)) = = (b).…

A: We Know that,  Greatest Integer Function is a function that gives the greatest integer less than or…

Q: Where does the graph of the function x* +x - 6 cross the x-axis? O At x = -6 O At x = -3 and x - 2 O…

A: We use condition if any graph cuts or crosses X-axis then y coordinate becomes 0.

Q: 20. Evaluate f(a+2) for ƒ(x) = %3D 4x-8*

A: Given: f(x)=34x-8

Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

A:

Q: For the function f (x) = 2-x² – x² +x, (a) List the x values where = 0. (b) Are all of these values…

A: Consider the given function, f(x)=2x4-x2+x Find the first derivative of the given function,…

Q: Find the criticial numbers for f(x) = xlnx

A: Given, The function is f(x) = x lnx

Q: Graph the functions

A: We make table for each potion  G(x)=1/x  x -3 -2 -1 -0.01 y -0.33 -0.5 -1 -100   G(x)=x…

Q: 10 16.⁰ FIX Find f(x) dx if = 8 x for x < 8 for x ≥ 8

A:

Q: If Var[x]=0.4, what is Var[2x+1] = ?

A: According to the given information, we have Var[x] = 0.4

Q: 4 Compute f(g(x)) where f(x) =x* -x and g(x) =x²-11. dx The answer is

A:

Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: Given that k(x) = 4 – V5 – ¤, find k '(x). Find the DOMAIN and RANGE of k'(x), writing your answers…

A: Domain and range of inverse function

Q: If f(x) = x²/(4 + x), find f "(4). f "(4) = %3D %3D

A: The given function is f(x)=x24+x

Q: 2x : 1 3 is not one to one True False

A: Given: The function f(x)=2x : 1≤x≤3x   :  x&gt;3

Q: Which of the following statements is not true for f(x)? S2+3 x 0 f(x) = o f(1) = 4 o f(0) = 3 %3D…

A:

Q: Example 1: Determine the average rate of change between the points (-6,-2) & (3,8).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Show whether f(x) is continuous (3х-2 f(x)={ x-2 x² -4 for x=- for x+ -

A: Given that, f(x) = 3x - 2; for x = - 2 f(x) = (x + 2)/(x^2 - 4); for x not equal to - 2 So when x is…

Q: (0) On the interval [6, 9], / f(x) dr %3D

A: Integration of f(x) on the interval [6,9] is given by:

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

A:

Q: 4.x2 – 7 x -1 бх + х2

A: Given

Q: If f(3) = 5 and f'(x) ≥ 3 for 3 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥

A:

Q: Q1.. Find domain and range for following functions: (2 20 a) y = {1x<0 {² D f(x) + D g(x) = D(f(x) +…

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Q: Find the value for k so that the function will be continuous at x = 2. 4x2 – 12x + 8 6 if x 2

A: