Find the value(s) of k such that the function x≤ 2 (x³ + k x³-8 f(x) = x > 2 ) x-2 is continuous at x = 2.

Q: Find f-1 if f (z) = iz + 1.

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Q: Determine the interval (s) where the following function is continuous x-7 f(x)= (x-7)x+4)

A: In the given function (x-7) is a common factor in numerator and denominator. So, it will cancel out…

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Q: What is the end behavior and removable discontinuity of the function y= x-4/3-2x ?

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Q: Differentiate the function In x f(x) = In 2x +3, x>0

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Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: Let f be the function 6x-1 for x {/ Find the values of a and b that make the function continuous.…

A: we need to find values of a and b which make the given  function continuous.

Q: Find the open intervals on which the function f(x)=x+6*sqrt(5−x) is increasing or decreasing.

A: Given, f(x)=x+65-x

Q: Let f(x) = x + 3 if x ≥ 5, 8 if x < 5. Find f(12) - f(-12).

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Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: for which value of 'a' the function 5x3 – 625, x5

A: As  we know that; If the function is continuous at x=a then;…

Q: Consider the function f(x)=2x* – 4x² +4. Isƒincreasing or decreasing at the point x - 0.5?

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: Find the intervals where f(x) = x* + 2x3 – 3x2 – 4x + 4 increases

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Q: where is the function (5+x) / (x(x-2)) discontinuous?

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