Show that the functions(a) f(x)=1/(1+x2),x∈R, (b) g(x)=x/(1+x2),x∈R, are uniformly continuous, while the functions(c) f(x)=x2,x∈R, (d) g(x)=√∣x∣,x∈R, are not Through graph

Q: If f(x) = x* + 7, g(x) = x - 1 and h(x) = Va, then %3D %3D f(g(h(x)))= | Preview

A: Solve the following

Q: If f(x) = a* + 2, g(æ) = x – 7 and h(x) = Va, then f(g(h(x)))= Preview

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Q: 1. State the domain and range of f(x) = /9(x - 4) + 2 D:[2,00) A. D:[4,00) В. D:[4,00) D:[2,00) D.…

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Q: 80 80 70 70 60 60 50 50 H 40 40 30 30 20 20 10 10 3 -2- 1 2 3 4 5 -3 -2 -1 2 3 4 5 40 40 35 35 30 30…

A: To identify the graph of the given function,first we find the y intercept and a point satisfying the…

Q: Use the graph below to answer the following questions: 10+ 4 2 8 10 10 -8 -6 -4 -2 -2 4 -4 -6- -8 1…

A: ANSWER

Q: Find the minimum of f(x) = 3 + 6*x + 5*x2 +3*x3 + 4*x4 in the range of [-2, 1]

A: the given function is f(x)=3+6x+5x2+3x3+4x4 find the derivative  f'(x)=6+10x+9x2+16x3 find the…

Q: C Chain Rule 7) f (x )> (2x +5)

A: To determine the derivative using chain rule.

Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,) (0,1) C (1,0) (2,4)

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Q: 6. f(x) = f(-4)= 5 -2x-3 Domain: Function: Yes No Continuous: Yes No f(0) = f(3) = x≤-3 x>-3 Range:…

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Q: Suppose f is a linear function and that f (2)=7 and f (5)=7.1.  Then the slope of is postive   true…

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Q: Let Compute f'(2). ƒ(x) = x³ + 3ª

A: This is a problem related to differentiation of the function. Please follow the procedure given…

Q: If f(x) = xª + 2, g(z) = x – 7 and h(x) = /¤, then f(g(h(x)))= Preview

A: We first plug h(x)=sqrt(x)

Q: 12. Let f be the function f(x)={ x² - 3bx+2; x2 For what value of b is f continuous at x = 2 ? (A) 0…

A: To find For what values of b is f is continuous at x=2.

Q: If ƒ = {(1, − 1), ( – 3, 1), (2, the following values of f and g. a. f(1) b. g(2) = = 3 c. g = d.…

A: Given :- f=1,-1,-3,1,2,14,π,1 and g=2,-1,-3,-2,34,-1 To find:- f1 g2 g34 f2 g-3 fπ

Q: f(2) = 4 and f(3) = 3. With this information, can you determine whether there exists a real number c…

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Q: Which of these functions has a y-intercept of (0,9) ○ A) ƒ(x) = 9x² + 4x + 2 B) f(x) = 9(x-3) (x +…

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Q: If f(x) = z + 5 and g(z) = z - 5, (a) f(9(x)) (b) 9(f(x)) (c) Thus g(z) is called an function of…

A: Given f(x)=x+5 and g(x)=x-5. a. f(g(x)) As g(x)=x-5 we will substitute the value in place of g(x)…

Q: 2. f(x)=x²-6x X -6x Vertex x-intercept(s)

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Q: Let f(x) = In(5æ² - 4x + 9) f'(x) =

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Q: Graph (x) = 2-Jx+5. 40 30 +20-

A: Here we have to graph the given function,  f(x)=2x+5

Q: Draw the graph of f(x) = -(²¹) ² 2

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Q: 4) f (x) = fiod the interval Cs) on which %3D graph of f(x) is Concave up (if any)

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Q: 9) Find a linear function of the form f(x) = ax +b that satisfy the conditions A-4) = 8 and (3) - 9.

A: f(x) = ax+bf(-4) = 8→ -4a+b = 8.........................1f(3) = 9→3a +b =…

Q: Suppose a function’s Hessian has both positive andnegative entries on its diagonal. Show that the…

A: Assume that the Hessian matrix Hfx of the function fx has both positive and negative entries on its…

Q: If (2 e)(1-3e-38) f(t) = C-¹ · L-₁ { (2²-0") (1 3e-1)} is continuous for t≥ 0, find f(1), f(2), and…

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Q: Suppose that To (2) centered at 3 for f(x)is given by Ts (2) = 7+3(2-3) + 2(x-3)² + 4(x-3)³ + (x-3)5…

A: Given that , T6x=7+3x-3+2x-32+4x-33+x-35+5x-36 and T6x centered at 3.

Q: The critical points of the function f (x)=x' – 9x² +8 are

A: For critical numbers we put f'(x) = 0