Given the function: x2-4 if x 2 f(x) = , 2-x if x = 2 What should be the value of k so that f is continuous at x = = 2? O -4 O 4 -2 0.

Q: Which of the following is a zero for the function f(x) = (x + 3)(x – 7)(x + 5)? Ox= -7 Ox = -3 Ox =…

A: topic - polynomials

Q: Let f(x) = 3x – 8 and g(x) = x + 2. Find the value of each of the following a. (f + g)(-5) f(2) b.…

A: Put the values in functions and determine the final values

Q: Find the value of the constant k that makes the function continuous.

A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

Q: Which of the following correctly describes the function f(x) = 4x4 – 32x³ + 89x2 – 95x +29? none of…

A: The given function is fx=4x4-32x3+89x2-95x+29. This is a problem related to function. Based on the…

Q: dy =x(1 – 2y) dx [v= }+ce*] 2.

A: Please refer the attached image for complete solution.

Q: If f(x) − x 2 and tsxd − x - 3, find the composite functions f o g and g o f .

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Q: Find all numbers at which f is discontinuous. х - 4 3 a. f(x)= b. f(x)= 2 x* — 4х —12 2 x +x – 6 |

A: Given information:-

Q: x2 + 7x – 5 On what domain is the function f(x) continuous? x + 6

A: given f ( x) = x2+7x-5x+6 this function is not defined for x=-6 since denominator becomes zero…

Q: Consider the following function: - 9x2 + 9x + 10 if x < 5 | f(x) = 6x2 – 9x – 8 if x 2 5 Step 1 of…

A: If the limit of a function f(x) are not equal as x→c from the left and right i.e.…

Q: If f(x) = 2x2+x +1, and g(x)=x is an identity function then (f + g)(1) = O a. - 4 O b. -8 O C. 4 O…

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Q: Find the X-values of all points of inflection for the function f(x) = – x* + 6x³. O A. X = - 3 only…

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Q: Use the given graph of the function f to find the following values for f-1 f-1(−4)= f-1(-3)=…

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Q: Where does the original function f(x) increases and decreased

A: f'(x) = +ve→f(x) will be increasing in this range.f'(x) = -ve→f(x) will be decreasing in this…

Q: -6 Ay 15- -15-

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Q: Find the interval in which the following function is positive: 3. -1 1 2 3 6 -1 -2 -3 4)

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Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: Use the formula to express h as a function of x if h = 3y-2/4y and y= x-4

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Q: Consider the following functions.  f(-2)=-1 and g(-2)=2 Find (f+g)(-2)

A: Arithmetic combination of function.

Q: 27. g(x) = 2x² - x - 15 x - 3 1 kx - if x # 3 if x = 3

A: Explanation of the answer is as follows