Suppose f(x)=2.3*x4 and g(x)=−0.4*x3 . Which of the statements is not true?   Group of answer choices As x→∞, g(x)→−∞ As x→−∞, f(x)→∞ As x→∞, f(x)→∞ As x→−∞, g(x)→−∞ As x→−∞, g(x)→∞

Q: uppose that f(4)=3, g(4)=2, f'(4)=-5, and g'(x) =4. Find h'(4) when  h(x)=4f(x)+5g(x) h(x)=f(x)g(x)…

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Q: Which of the following is the absolute minimum value of the fuk took f(x)=(x-3)^3 on interval [1,4]

A: The graph is shown below:

Q: Consider the following. g(x) - x* - 2x2 + 7 Find g'(x). g'(x) = Find the critical numbers of g(x).…

A: Topic - application of derivatives

Q: Let {(=) = In ="(z +2)*(z² + 9)] f'(x) =

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Q: Which of the following correctly describes the end behavior of g(x) = -2x3 + x² - 4? O A. As X→ - ,…

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Q: Find the domain of f(x)=x² for 0<x<5. O (1,25] O (0,25) O [0,25] O [1,25)

A: Given: The function is fx=x2 for 0≤x≤5. To find: The domain of the given function. The given options…

Q: Define g(-5) in a way that extends g(x)= 9(-5) = x² - 25 x + 8x + 15 to be continuous at x = -5.

A: We have to define g(-5) such that g(x) is continuous at x = -5.

Q: Let g : Z----Z be given by g(x) ={x                if x is even.…

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Q: Show that for all x>0, e* >1+x+÷ 2.

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Q: 2. Suppose that f(x) = e * for 0< x. a. Determine x such that P(x < X) = 0.40 b. Determine x such…

A: Given:

Q: Let f(x) = (|x| + x2 − 1     if x ≤ 0          (|x| − x2 − 1     if x > 0 Is there some x in (−1, 1)…

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Q: If f(x) is incrasing and f (x) > 0 on the internal K, then g(x) = 1/f(x) is decreasing on K

A: Question- If f(x) is incrasing and f (x) &gt; 0 on the internal K, then g(x) = 1/f(x) is decreasing…

Q: 9. If f(x) # 0f and f(x) is relatively prime to Or, what can be said about f(x)?

A: Relatively prime elements: Two elements f(x), g(x) ∈ F[x] are said to be relatively prime if…

Q: Let k(x) f(x)g(x) h(x) If f (x) = 3x, g(x) = x - 2, and h(x) = -x² + x + 1, what is k' (x)? %3D…

A: We know that, from quotient rule of differentiation We have,  fx=3x, gx=x-2 and hx=-x2+x+1 Now,…

Q: 15. If f(x) = 3 – 9x³ + x, which of the following is true about the end behavior of f (x)? - As x →…

A: According to question given:f(x)=3-9x3+xWe have to calculate the end behavior of f(x).

Q: 2.59 Find || f |sup if a) f(x) = x on (-1, ). So if x E Q, b) f(x) = – x² .2 if x ¢ Q. -

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Q: 2x-3 for *く-S メ+4 %3D ーメ+3 for マ-S メ+2 for x) -5 メ+ヒ find *ビ" し 1n for order f(x) to メ- -5

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Q: 1 Expand f (2) = in the domain 2 < |z| < 14 (z-2)(z-14)

A: Follow the procedure given below.

Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

Q: For y = In (x' + 3x - 9) , to find would require the chain rule. If y = f(g(x)) find an f(x) and…

A: Given that        y = ln(x7+3x-9)

Q: Which of the following correctly describes the end behavior of g(x) = -2x4 + 3x3 - x2 - 4? O A. As X…

A: We use the definition of the end behavior of the function to answer the given question.

Q: Suppose that a friend tells you that if any number M > 0 were to be speci- fied, one would always be…

A: The friend tells that if any number M&gt;0 is specified, it always can be able to find a…

Q: Describe the end behavior of the graph. 20 16 12 +12 +16- 20 O Ax)→ -co as x→-o and (x)→ -co as x→…

A: To determine the end behavior of the below graph.

Q: What are the possible values for / '(x) if7 "(x) exists and f(x1) > (x2) for every X1 0 c. f"(x) =…

A: Disclaimer: Since you have asked multiple questions, we will solve the first three questions for…

Q: 8. Show that the function f : N → Q defined by f(n) n- is one to one. n+1

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Q: f(x) x* + 3x - 3x + 2 %3D as x -00 f (x) → 0 as x -of (x) → -∞ as x +∞f(x) → -∞ as x → +of(x) → +o

A: Given polynomial f(x) =-x4+3x2-3x+2

Q: 6) Show that the function f:Z → N given by 2n +1, n20 f(x) = -2n, n<0. is 1-1 and onto. I

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Q: Let k(x) = f(x)g(x) h(x) If f(x) = 3x, g(x) = x – 2, and h(x) a? +x + 1, what is k' (x)? = - Select…

A:

Q: 3. Given that g(x) =7x-6 and f(x) =x+1, then the domain of |(x) is O{r\x&R} O{r|x+-1, xɛR} xɛR 6 -1,…

A: First I have written the definition of qutient of two functions and tell about their domain. Option…

Q: Let h(x)=f(x)g(x). If f(x)=−3x2+2x−3 and g(x)=−3x2+4x+3, what is h′(1)?

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Q: If f:(−π/6,π/6)→Rf:(−π/6,π/6)→R is defined by  f(x)=2xtan(3x)f(x)=2xtan⁡(3x) for every…

A: Given function - f(x) = 2xtan3xDifferentiating function f(x) with respect to 'x' - f'(x) =…

Q: (х — т 11- тх if x < 3 if x 2 3 5) Find m so that g(x) = Is continuous for all x?

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Q: Suppose that f(x) =x², x20, and g(x) = x, x20. Typically, fog gof, but this is an example in which…

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Q: Which of the following correctly describes the end behavior of f(x) = -x* +2x ? O A. As X → - 0,…

A: Given:- Function f(x)=-x4+2x

Q: Consider f : {1, 2, 3} → {a, b, c} given by f(1) = a, f(2) = b and f(3) = c. Findf-1 and show that…

A: Given function is

Q: - Determine the behavior off(x) = (x-1)(x+2)' x → 1- f (x) →_ x → 1+ f(x) →. x → -2- f(x) → x → -2+…

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Q: 6 Evaluate f S Suh

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Q: x-m 1- mx if x<3 if x23 5) Find m so that g(x) = Is continuous for all x?

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Q: 21. Discuss the continuity of : 1 x + for x 2

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Q: Suppose that Y = Z - X is independent of Z and of X. Show that Y is a constant.

A: Given that Y=Z-X. To show: Y is a constant function.

Q: Prove: for n > 1, F; – Fn+1 Fn-1 = (-1)".

A: F_n are the Fibonacci numbers which are defined by F_0=1,F_1=1 and F_n = F_{n-1}+F_{n-2} for…

Q: 8. 7 If f(x) = and g(x) = - , %3D x²-x-2 find (f- g)(x) and determine any domain restrictions x2+x-6

A:

Q: If f(x,y)=x²+3xy-2x+3, then f(x+h,y) is... Jika f(x,y)=x2+3xy-2x+3, maka f(x+h,y) adalah... 1. O…

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Q: Suppose that f(x)=βx−3 if x≤2βx+2 if x>2 Find the value of β so that f(x) is continuous everywhere…

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Q: 6 Suppose that a function h satisfies –x² < h(x) < x² for all x. Prove that h is differen- tiable at…

A: Definition used: f'x=limh→0fx+h-fxh and f'a=limh→0fa+h-fah Calculation: Consider the given…

Q: Compute f' (a) for a = 6. 5 f (x) =

A: Differentiating with respect to x, we get

Q: Find any restrictions on x. ITS 1/2x - 5= 10

A: The given function is 12x-5=10 Solve 12x-5=10 as follows: 12x-5+5=10+512x=15x=30

Q: 2- Let f(x) = ()*O- , x = 0,1, is p.d.f then P(x = 0) =

A: The p.d.f.  of random variable X is: f(x)=13x231-x ;    x=0, 1

Q: Givenf (x) = for x # 3; ƒ-l (x) = ? x - 3 Of-1 (x) = 3+2 x-1 Of-l (x) = 3x+2 x-1 X- f-' (x) = 2 x+1…

A: Steps Rewrite f(x) as y Swap x and y Solve of y.