4. Let S = {-1,0,2,4,7}. Find f(S) if а. f(x) — 1 b. f(x) = 2x +1 %3D c. f(x) = |*/s] d. f(x) = [x* + 1/3]

Q: 6. Let r(x) = 1 + 3r– 10 and s(x) = x- 2. Build a new function, 1(x), for which 1(x)=| State any…

A:

Q: Suppose that a continuous function g satisfies: | 9(2)de = 12 and | 9(20)da = 24. Find og(3x²)dx.

A: Given that, ∫03gxdx=12, ∫06g2xdx=24 Let  ∫06g2xdx=24 Apply the substitution u = 2x to find this…

Q: differentiable and

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Q: x2 3-x if x2 f (x) = Find a)f (1) b)f (3) c)f (2)

A: Consider the given function for value of x≥2. fx=x2 Consider the given function for the value of…

Q: 3. Let h(x) = (f og)(x). Given f(x) = 3x2 +5 and g(x) = Vx – 3. a. Evaluate h(4). b. Determine fx).

A:

Q: 1. Let f(x) = x² + 1. %3D (a) Compute f(0), f(-1), f(1/2), and f(/2). (b) For what values of x is it…

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Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

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Q: Q2-For what value of b is the function x2 - 4x + 4 x # 2 f(x) = %3D x- 2 bx + 6 x = 2 continuous at…

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Q: Find the values of a andb that makef continuous everywhere. x² – 4 if x 3 a = Il ||

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Q: O D. 2x + 2x+4 Find f(-x) when f(x) = 2x-2x+4. OA. O A. 2 +2x-4 O B. -2x +2x +4 OC. -2x + 2x-4 O O O

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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: 26. Let f (x) = vx - 1 and g(x) = x² – 4. A. Find (fog)(x) and (gof)(x). B. Find all real values of…

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Q: Find the value of the constant a that makes the following function continuous on (-∞, ∞). 5x³ + 5x²…

A: We need to find a value that makes the function continuous.

Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

A:

Q: If f(x) = v(x - 1)/ (x - 9), then the domain of f is given by the interval A. (1, +00) B. (-3, +3)…

A: The given function is  f(x) = sqrt[(x - 1)/(x2-9)]

Q: Determine where the function f(x) = O A. (-∞, ∞) 1-00 O B. O C. O D. 3 3 3 (-∞0,²21) U ( 212,00) N/W…

A: we have to find out the values of x where function is continuous.

Q: ls f(x) = ±vx, a function or a relation? Give reason/s to support your answer %3D (a). Given that…

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Q: In each of the following, determine whether

A: We have to decide whether y is a function of x or not.

Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

A: Introduction: Every complex valued function corresponds to a power series. The convergence of power…

Q: 17. The function f(x) = 2 + 2x2 - x* is increasing on: %3D A) (-00, -1) only. B) (-1,0) and (1, c0).…

A: