If 4x 9(x) 2x-2x²+4 for all x, evaluate lam g(x). Explain!

Q: What is the infinite discontinuity of f(x) = (x^2-3x+2) / (x^2-x) ?

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Q: the radical is over 21-2x f(x)=√21−2x  g(x)=2x^2−14. (g∘f)(x)

A: Consider the functions and solve:

Q: Let fx)x -6x and g(x) 9-x Find (fal(8)

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Q: lim, x2+5x-14 x+2

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Q: Find the limits. f(x) = 2x²-3x + 15, g(x)=√√x + 3 3

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Q: -2x 8 Which of the following is equal to lim r2 16 -

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Q: 8. Given f(x) = -4x5-3x3 + 4x² -7, use synthetic substitution to find f(-3). %3D

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Q: What are the proper interpretations on f'(2)?

A: To find what is the proper interpretations on f'(2)?

Q: Evaluate the lim x + 3 2r2 – 3x + 1 5x +4

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Q: 9x+4 f (æ) 5x²–8

A: Given function is fx=-9x+45x2-8. To differentiate the function using quotient rule. Solution:…

Q: lim V 5x + 40 X--8-

A: Given          limx→-8-5x+40

Q: find domain of f(x)=-5x+2

A: Recall the following fact.

Q: -e g). lim [In(6x² + 5) – In(3x² – 6)] h). lim ズ→の

A: g) limx→∞ln6x2+5-ln3x2-6h) limx→-∞e2x-e-2xe2x+e-2x

Q: What is the 2x - 6 lim x2- x2-4 - 00 00 2/3 8.

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Q: Evaluate f(-3): -x2 – 3 for x < -2 3x +7 for-2s x,< 3 for x 2 3 f(x) = %3D

A: We need to find f-3 We have fx=-x2-3            for x&lt;-23x+7             for -2≤x≤3x…

Q: lim,→4(x2 – 2x) = 8

A: Given: limx→4x2-2x=8 To Prove: The above limit using ε, δ definition.

Q: What is the value of x² – 9x + 20, lim r→4 x² + 2x

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Q: What is f(x)= 3x-4 and g (x) = 5-x^2   (F of g)(-2) and  (g.f)(-2)

A: Definition used-       Composite function - In composite function output of the inner function is…

Q: What is the greatest value of f(x) = 2x3 - 9x2 + 12x   in the interval 0 ≤ ? ≤ 3

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Q: ? lim (8x + 3) (x - 3) Evaluate x → ∞

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Q: limits

A: Given,

Q: snip

A: To determine whether 13 is a zero of fx=4x3-5x2-3x+1. Solution: Factor theorem states that if x-a is…

Q: Find the f'(x) of f(x) = -2x³ + x⁴ + 2 over 3

A: Given:  f(x)=−2x3+x4+23 To Find: f'(x)=?

Q: X3+3 lim X→-27 x+27

A: The limit of the function f(x) at a point  a is the value of function when the x approaches to a.…

Q: 8. Use f(x) = 2x -3 and g(x) = 1 - 2x to evaluate 8(f(2)). %3D

A:

Q: -7x2 + 7x + 2 14) lim x--- -16x2 - 7x +8 14) A) B) 1 D) -

A:

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

A: limx→4x-4x2-8x+16

Q: 2n = [4x – 8| lim n→0 n + 1 2 |4x – 8|

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Q: Find the limits

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Q: If lim f(x) = 8 and f(7) = 3, then lim (4f(2x + 1)) = %3D %3D x→7

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Q: WHAT IS THE PORNT OF F(x) = (2+1) 5-52-2

A: answer is in next step.

Q: What is (go f)(-1) if f(æ) = 2x + 3 and g(æ) = ? %3D

A: When two functions are combined in such a way that the output of one function becomes the input to…

Q: 4. Given that f'(x) = −6x² + x + 12 and f(1) = 7, find f(x).

A: Given : f'(x)=-6x2+x+12f(1)=7   To Find : f(x)

Q: 1– x2 lim r--00 3 + 2x – x3

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Q: бх — 2, х < 2 3. limf(x) for f (x) = x-2 %3D 13x2 -1, х 22 |

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Q: Let f(x) = 2x² + 8x – 9. According to the definition, -

A: Derivative: - Differentiation is the pace at which one quantity changes in relation to another. The…

Q: What is the Domain of f(X) = 7*? None of these. (7, ) 00, ) (0, ∞)

A: We know that domain of exponential function f(x)=ax is -∞,∞ as the function f(x) is defined for all…

Q: Calculate R8 for f(x)=7-x over [3,5].

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Q: lim 2x + 1 -0

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Q: — Зх — 6 for x 5

A: To plot the piecewise function for y = f(x) We have two lines y = -3x-6 for x&lt; -3 y = 6    for x…

Q: The domain and the rang of the - * function In (x - 2) are

A: the log function is not defined for zero and negative numbers so the value of x-1 should be greater…

Q: Suppose k>0. What is the domain of F(x) =/k² – x² ?

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Q: 3. If f(x) = 2x + 5, find f(-1) %3D a) Using evaluation: fo-2x +5 b) Using graph:

A: Given,          fx=2x+5

Q: -3x3 Evaluate lim Зд3 — 42 + х — – 10 - -

A: (1).    We have to find the limit: limx→∞ -3x33x3-4x2+x-10

Q: Show that f(x) = 2x3 + 3x2 − 36x is not one-to-one on (−∞, ∞).

A: Given: f(x)=2x3+3x2-36x, -∞,∞

Q: Find Vx2 +8-3 lim x--1 x +1

A: we have to solve the given limit . so , we rationalise the numerator .

Q: 3 Let f(x) = 4.x² 5 and g(x)= 3.x + 7, find. -

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Q: What is the solution of lim (3x-2) as x approaches to 2? O 2 O 4 O Undefind Does Not Exist

A: Given: Let y=limx→23x-2 To Find: To evaluate the given limit.

Q: Find the asympototes of f(x)= x4-2/x3+1

A: f(x)= x4-2/x3+1 We can find the vertical asymptotes by finding the values that make the function…