Which of the following functions are not differentiable? O f(x) = x² - 3 o f(x) = |x| O f(x) = 10x +5 O f(x) = 111426 f(x) = (x + 3)4

Q: find f(2021) if function f satisfies following the function f(1)=1 and f(x+y)= f(x)+f(y)

A: we have given f(x+y) =f(x) +f(y) and f(1) =1. We have to find f(2021)

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: Express the function in the form f • g o h. F(0) = Vsin3 0

A: We have to express given function in the form f•g•h

Q: Let f be a function of x. Then f (10x) = 10 (f (x)). O True O False

A: the answer for the above statement is false. the explanation is given in the below step

Q: Evaluate  f(−7), f(0), and f(3)  for the piecewise defined function. f(x) =    x + 2     if x < 0…

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Q: Describe the x-values at which the function is differe f(x) = (x + 2)2/3

A: To describe all possible x values at which the function is differentiable.

Q: f(x) = -7x + 6 x² +6 if x < 0 if x 20

A:

Q: 5. lim (5x³ - x²y²) (x, y)-(1,2)

A: You have specifically asked to solve question number 5. So, we will solve Question number 5 for…

Q: Consider the following function and closed interval. g(x) = (x² – 9)²/3, [-5, 4]

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Q: Assume that f(x) is one -to-one. Find f-1 f(x) = x3 -3 f-1(x) =

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Q: Let f(x) = 12x + 11 f-¹(x) = > Next Question

A:

Q: determine where f is increasing. f (x) = x4

A:

Q: What points is the function y=|5x-1|+7sin(7x) continuous?

A: we have given function y=5x-1+7sin(7x) we know that  sin(ax) is continuous everywhere hence sin(7x)…

Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

A:

Q: Let f (x) = 35x. Determine all x for which f (x) = 27.

A: Given, fx=35x.   The objective is to determine the value of x for which fx=27.   So, the value of x…

Q: Refer to the function below and evaluate it where f (7). /(t) = -3 (-3 ( +-1))' + -1

A:

Q: J 3(x)is even function 0 صواب ihi O

A: We will use the fact that j_-n(x) =(-1)^n j_n(x) to decide whether j_3(x) is even or odd function.

Q: Use the tables for functions f and g to evaluate each. f(x) g(x) (f - 9)(6) = f(-5) = -5 -3 4 2 1 -5…

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Q: Let f(x)=x²-9x +4. Find f( − 1). f(-1)=

A:

Q: Express the function H in the form fo g. (Enter your answers as a comma-separated list. Use…

A: we have to find the composition function

Q: If h(x) 6.x + 1, find h(). Is h a one-to-one function?

A: If h(x) = 6x +1. To find h(1/2). Also, to check whether h is a one-to-one function.

Q: f(u) = u + 1 h(u) : Vu + 1 p(u) = 1 - 4u2 q(u) = (1 – 4u2)9 g(u) = Vu + 1(1 – 4u2)9

A: Given functions are,