In Problems 12–14, find the domain of each rational function. Find any horizontal, vertical, or oblique asymptotes. x + 4 x + 3x + 2 12. R(x) = x + 2 x? - 9 13. R(x) 14. R(x) %3D X - 2 (x + 2)²

Q: :-3 ifx 2 -3 2-1

A: The given piecewise function is,t(x)=-12x-3if x<2-1if x≥2

Q: 5. g(x) = x² - 1 and n(x) x² + 2x +1 IV. Find the product of all given functions. 1. 2. x=3 x²-x-6…

A: Note: As  per our guidelines we are supposed to answer only one question if there are multiple…

Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x<-10…

Q: The graph of the function f(x)=√x is stretched vertically by a factor of a and is translated 3 units…

A: The graph of the function fx = x is stretched vertically by a factor of a and is translated 3 units…

Q: Consider the following. x2 g(x) 2-4 -x- 12 (a) State the domain of the function. O all real numbers…

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Q: Question 13 From the previous equation, vdx - (2v - 1) x dv = 2v²e²v dv, what is the Integrating…

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Q: Suppose f(x) = 4x – 5. Compute each of the following. f(2 + 6) f(2) + f(6) = f(2 – 6) = f(2) – f(6)…

A: Given Function, f(x) = 4x - 5    - - eq.1 As you see when we put x in the function then right hand…

Q: For items 1 - 2. Let f (x) = 3x² + 9x – 3 and g (x) = 4x³ – x² + 4x – 9 %3D 1. Determine (f – 9) x.…

A: We know, f+g x = f(x) + g(x) f-g x = f(x) - g(x) fg x = f(x) g(x)

Q: What two angles of elevation will enable a projectile to reach a target 16 km downrange on the same…

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Q: Suppose that f(x) = 3x² - 4x + 4 and Find the following: 1. (fog) (6) = Number 2. (fog)(0) = Number…

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Q: If f(x).= x³+3x k is divided by (x +1) and the remainder is 12, then - k = -8. True False

A: Given :fx=x3+3x-k*Remainder theorem; - If a polynomial f(x) is divided by x-a then the remainder is…

Q: 2x+l f lx) =

A: f(x)=2x+1x

Q: Find the domain and sketch the graph of the function x² - 4 x-2 f(x) =

A:

Q: r(x) = { *, x - 3, x 3

A: given, f(x) = { x-3   ; x≤3           & -2x+1 ; x>3

Q: If f(x) = x' + 2x (a) fog I and g(x) 2x 3, find each of the following functions (b) g f (c) g g-9

A:

Q: 11. Decide algebraically if the functions given below are even, odd, or neither. a) f(x) = -7x - 3x3…

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Q: Find the largest possible domain of each of the following function. 2x4 + 5x3 + 14x² + 11x – - 27…

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Q: If f(x) = f(-3) = f(0) = f(2)= 2x-1 x²+3 for x ≤0 for x>0 " evaluate the following.

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Q: Let f(x)=√x and h(x) = Find f-h and its domain. Which of the following defines the function f-h? O…

A: The domain of a function y=f(x) is the set of all possible values of x for which f is defined.

Q: How much revenue does the company get from a customer who uses exactly 30 therms of gas in a month?…

A:

Q: 3. A farmer with 3000 meters of fencing wants to enclose a rectangular plot that borders on a…

A: Since you have posted multiple questions, we will provide the solution only to the first five…

Q: What are the zeros of the graph of f( X x = -4,8 Ox=8 x = -4,3 x = 3 = x²+x-12 x²-4x-32

A: The given function is,

Q: 4. Graph this piecewise function: f(x): = x+1 -2x-3 x<-2 xM-2

A: We need to graph the given functionf(x)=x+1x&lt;-2-2x-3x≥-2

Q: If x = – 4 is a zero of the function h(x) = x* + 17x' + 108x² + 304x + 320, what must be a factor of…

A: Given function is hx=x4+17x3+108x2+304x+320