Study lim f(x) in each of the following3; X-2 (3x +1 if x2 2 x³ –1 if x<2 a) f(x) = %3D - x2 if x <2 b) f(x) = {2x if x> 2 iげ x=2 x +5 if x > 2 c) f(x) = げx<2

Q: 9. for f(x)=3x-5 and g(x)=3x^2-3, find the following functions  a.(f o g)(x)  b. (g o f)(x) c.(f o…

A: Consider the function, To calculate the (f o g) (x),   Substitute the value of g(x) in function…

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(2x+4) for f(x)=1-x^2

A:

Q: Find all zeros for... F(x)=2x^3+3x^2-20x

A: Here is the solution

Q: Given g(x)= 6x^2-x+9 a. g(0) b. g(-1) c g(r) d g(x+h)

A: To find the value of the given function at specified values.

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

A: Find your answers below

Q: Find the end behavior asymptote of each of the following functions:  a) r(x)= (x^2 -4)/(2x^2 +7x+6)…

A: To determine the end behavior asymptote of the functions.

Q: f(x) = x² + 3x + 4 f(x + h) – f(x) First, find h |(x^2+2hx+h^2+3x+3h+4)/h Preview Next, simplify the…

A:

Q: Find the ain of the composite function f og. dom f(x) = 5x + 20; g(x) = x + 7 %3D

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Q: For each function f, give O(f) using any of the properties in the last 4 slides. In each case,…

A: We know, f(x) = O(g(x)) if f(x) &lt; cg(x) for some positive integer c, and x &gt; x0 for some x0.…

Q: what is the end behaviour of function f(x)= 2x^2 -3x^5 -8

A: The following table gives the end behavior of any function by knowing its degree and Leading…

Q: Given the function h, find functions f and g such that h(x) = (go f)(x). h(x) = (6+ 4x)" a. f(x) =…

A:

Q: If h(x)= (-2+8x+8x^2) (7x+2x^6+7x^7) then h(x)=f(x)g(x) wher

A: Given that: h(x)=(-2+8x+8x2)(7x+2x6+7x7)

Q: let f(g(x)) = 8(9 + 3/x^4+2)^7. Find the following functions.  if f(x) = 8x^7 then what is g(x)?…

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Q: graph the following functions  f(x)=3x-1    if x\le 0        -2x+1   if x\gt 0

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Q: a.Show that 30x^3-20x^2-10 is O(x^3). b. Explain what it means for a function to be Ω(1) and give…

A: Since you have asked for a multiple question, we will solve the first question for you. If you want…

Q: A student writes the following for the function f(x) = (x-2)/(x^2-8x+8): "The domain of f(x) is…

A: Given: x-2x2-8x+8

Q: Suppose we have two functions f and g defined by f(x) = 2x + 3 and g(x) = x^2 - 3x + 2. Find…

A:

Q: (x+2)^2 &lt;25

A: In order to solve the given inequality, we need to apply rule shown on the board.We would rewrite…

Q: If the point (-1/2, 1) is on the graph of f(x)=a(x-3)^2+50, what is the value of a?

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Q: Please help identify the end behavior of the graph for the function n(x)=-4(x-4)(4x+2)^3 (x+7)

A: The end behavior of the graph will base on the degree and leading coefficient of the function.If the…

Q: let f(x)=2x^2+1 and g(x)=3x-5. find the following? a. (f*g)(2)=f(g(2))

A: Given function is f(x)=2x^2+1 and g(x)=3x-5.

Q: For this function, I understand the a from f(a)+3 will go into the spot for x in f(x)=x^2-4.…

A: Given function    F(x)= x^2-4    Then we have to evaluate value of    F(a)+3

Q: inflection point if any of the function  g(x)=9x^3 - 4x

A: Inflection point of given function is (0, 0)