1. Find constants a and b such that g(x) is continuous for all x, where if x<-1 g(x) = if if x³ ax + b (x²+2 -1

Q: Let if a < - 5 if -5 < x < – 1 3 if -1<x < 3 f(x) = if a 3 and g(2) = / r(e)dt Determine the value…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: 3. Let f(x) = x - r - 3x. Determine the interval(s) on which f(x) is increasing and the interval(s)…

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Q: Find values of x, if any, at which the given function is not continuous. (a) f(x) (b) f(x) = |x³ -…

A: Find the x values where the function is not continuous.

Q: Suppose f(x) is a twice-differentiable function which is positive and decreasing for all real…

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Q: Find functions g and h such that f(x) = g(h(x)). f(x) = e4x + 2 A. g(x) = 4x+2, h(x) = ex OB. g(x)=…

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Q: f(2) = 4 and f(3) = 3. With this information, can you determine whether there exists a real number c…

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Q: Let f(x) = and g(x) = 2х -1 Compute (f o g)(x) and determine the domain in x-2 interval notation.

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Q: Find the value of a and b such that the function g(x) is continuous. x 3

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Q: Find the absolute minimums and maximums of the following function on the given intervals

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