Let f, g: R - [-1, c0) be functions given by f(x) = x – 3 and g(x) = 2x? – 1 then which one of the followings is the composition (go f)(x) ?

Q: x+4 x²-2x (a) Find the domain of F. 10. Let F(x) = = (b) F(-2) =

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Q: Let f(x) be a piecewise function defined by - 6x+ a if x - 3 What should be the values of a and b…

A: Continuity

Q: Q3: Classify the following as even or odd functions: x3, cos x, x5 - 3x3 + 2x, 2x6 - 4x2 +

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Q: For which a is each of the following functions defined 2x – 3 (a) f(x) = (b) 1 g(x) = 3x + 2 4.x + 5

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Q: Suppose that the functions u and w are defined as follows. u (x) = - 5x-2 w (x) = -x+3 Find the…

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Q: If the function f: R→R be defined by f(x)=x² +5x+9,Find f'(8) = and f'(9).

A: The given function is fx=x2+5x+9

Q: Let f(z) then for all real number the power representation of f is Select one: O True O False

A: Recall : 11−x=∑n=0∞xn=1+x+x2+x3+…

Q: (2,-4) (0,-6) Assuming that f(x) is of the form A. Ba, write an expression for f(x): f(x) = 0

A: Given f(x)=A.Bx The graph passes through two given points (0,-6),(2,-4). By substituting the…

Q: if f(x) = 3 and g(x) = f(x) – 1 then (f .g)(-3) О а.-3 O b. 6 C. 9 Od. 27

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Q: F. Determine the following given that 1. f(g(x)) 2. g(f(x)) 3. f(g(-1)) 4. g(f(2)) f(x)=x²+x-3 and…

A: As per our guidelines, we are supposed to answer only one question with three subparts only. since…

Q: Given the function below, find the point of inflection: y=a* _ 2p2 OP() O P(-1,-1) OP() O None of…

A: Given problem:- Given the function below, find the point of inflection:   y = x4 - 2x2

Q: 3) f = {(0, a), (1, d), (5, e), (9, c)} find the inverse of this function.

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Q: 2² – 7x + 12 Explain why f(x) = x – 4 is not the identical function of g(x) :

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Q: 2x-3 Let f(x)= Compute (1 -i/2). (1 – i/2)=

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Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: Let F(n) = 9F(n – 1) – 24F(n – 2) + 20F(n – 3) with initial conditions F(0) = 1, F(1) = 5 and F(2) =…

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Q: 1 Let f(x) and g(x) = 4x + 5. - 4 | Then (f o g)(6) (f o g)(x) =

A: The solution is given below :

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.