x+2, ifx<2 Given the function, f (x)={ ax², ifx 2. Find the value of a and b that will make if x>2 b, f continuous on (-∞,0).

Q: Let f and g be functions of x, where a is an unknown constant. What is a valid expression for (-)'…

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Q: For f(x)=x^3-ax^2-×+8, find the x-intercepts

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Q: Complete the table using domain of {-2, -1, 0, 1, 2} for each function shown. f(x) = 3(2)* %3D x -2…

A: Given, fx =32x  x ={-2,-1,0,1,2}   We have to find the value of fx for the given x.

Q: Find f g and g of, where f (x) = x^2 + 1 and g(x) =3x + 2, are functions from R to R.

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Q: Suppose f(r)=1+3r^2. Evaluate the function for each of the following values of its argument: 1. with…

A: Find the function by substituting the given arguments.

Q: Evaluate Function  g(3,4) when g(x,y)=x-6y/x^2+y^2 a. -25/21 b. -5/21 c. -21/25 d. -21/5

A: For this problem, we have to substitute the values of x and y in given function g(x,y).

Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

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Q: The function f(x)= x^2 - 6x+4 on which interval will f(x) have a root?

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Q: Let f(x) = {2x-5 if x3

A: Find your answers below

Q: Find f. f"(x) = 20x + 12x² + 6, f(0) = 6, f(1) = 2 %3D f(x) =

A: Find your answer below

Q: for the function f(x)= (x+1)/(x^2+3), evaluate and simplify the following a. f(-1) b. f(2a) c.…

A: Explanation of the solution is given below..

Q: For this function Y=x^3 + 15x^2 -225x prove that we have a point of inflection at x=-5

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Q: Rewrite the function f (x) = 2(x-1)-1 in the form f (x) = ax²+bx+c. f(x) = 0 %3D

A: The given function is, fx=2x-12-1 The general form is, fx=ax2+bx+c

Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

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Q: Consider the function F(x)= (x+2)^2 for the domain [-2, ∞)

A: Given           Function is :                            F(x)=(x+2)2 for the domain [-2, ∞)   To…

Q: Find the value of a and b in the function f(x)=ab^x, if f(-1)=15 and f(2)=5/9

A: Given function,                               f(x)=abx                               And  f(-1)=15…

Q: f(x) = x4 + x? In order to check even, odd, neither, I need to check to see what f( – x) simplifies…

A: If we have to check either a given function f(x) is odd or even we replace x in the function by (-x)…

Q: Let f(x) = x^2/√x−10 + 1/2x−30. Find the domain of f

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Q: Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and…

A: We have to determine the intervals at which the function  is increasing or decreasing.

Q: Let f=​{(0​,8​),(5​,0​),(9​,4​)}. Find f(0)

A: We have given f.  We have to find f(0)

Q: Please

A: We will plug 1/x in place of x