Find functions f and g such that the given function is the composition f(g(x)).  (Use non-identity functions for f and g.) SQRTx2-6x+1   {f(x), g(x)} ={     }

Q: x3-3 3. Find lim f(x), . f(x) = %3D 3x3

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Q: Lim メー→& 5X 2X+XSin3 X -2X++

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Q: lim (2 - Vx +2)

A:

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A: The value of the limit is, - 3/2 The detailed solution is as follows below:

Q: Ans Find the limits. 2x +x- 1 = -3. 1. lim x +1 X-I

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: lim V1 + x2

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Q: lim (Vx2 +2x-x) ズ→

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Q: lim 7x+x² X-3

A: Given that, limx→37x+x2x-3

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A:

Q: lim (12x1/(2 In(x)) x0o

A: To determine the value of the limit.

Q: Find the limit

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Q: lim x – Vx2 + 7x のーズ

A: To evaluate the given limit.

Q: Discuss the continuity of the function.

A:

Q: Find the limit.

A: Substitute x=-2 in the function x2+x+14 and simplify. limx→-2x2+x+14=-22+-2+14

Q: lim | X3-1

A:

Q: Find the limit L.

A: To find: The limit of limx→-4x2+4x. Calculation: The limit of limx→-4x2+4x can be obtained as,…

Q: lim (Vx - 1) 4 X. x→27

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Q: (a) lim 1+ x2

A: Solving the problem by obtaining the limit.

Q: lim x---4, x - 4/x2 - 8x + 16

A: limx→4x-4x2-8x+16

Q: x-2 Find the lim , x-2

A: Solution:To find   limx→4 x-2x-2

Q: x-2 lim Jx-2

A: Find the limit limx→2x2-2x-2.

Q: Calculate the limit

A: We have to evaluate the following limit: limx→∞9x3+x-x32

Q: 3. lim x² + 2x X1

A: As per guidelines we have to solve three questions

Q: lim (2f(x) + 3g(x)) = x--3

A: Given

Q: lim [(x -3)° (5x + 1° X2

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Q: lim x---5, x - 5/x2 - 7x + 2

A: Given: Let y=limx→5x-5x2-7x+2 To Find: To evaluate the given limit.

Q: Lim (x"-3x) (%5x+3) 2. とつ-!

A:

Q: lim [2Ax) – 3g(x)] x → a

A: Given ,   limx→af(x) = 3   ; limx→ag(x) = 3

Q: メ+X-2 Lim. メ→ ーX 2

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Q: lim (x-7x – 2x+5) is infinity. |

A: Topic = Limits

Q: lim x - Vx2 +x x+00

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Q: lim (sgn(x² – 1) + [x + 3]) = ? X→-- 2

A: see below the answer

Q: lim tkx'-1 k is a constant ト

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Q: lim V3x-a X+Q X -a +a

A: Answer

Q: 2+x a) lim x-22+x²

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Q: Lim x²-3x-4 x²-1

A: Topic:-  limit calculus

Q: Find lim   x3 + 3x2 + 3x + 1      x - 1    2x3 + 3x2 - 1

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Q: X- 2 lim X- x² + 2x + 1

A: Given,          limx→-∞x-2x2+2x+1

Q: lim x²e-x

A: we have to calculate limit by using L'hospital rule

Q: 2. lim f(x) = x2– 4x +4 X Use the domain [-9,6] to draw the graph. х -2

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Q: x3-7x² +10x Which shows that the lim is an indeterminate form? x→2 x2+x-6

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: lim x² = 0

A: We can prove the statement in the below steps.

Q: lim₂+-1 f(x) = C 2

A: limit exist when

Q: lim x – Vx2 + 7x

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.