A≤f^(-1) (f(A)) and if f is surjectivee, .then A=f^(-1) (f(A)) F O то

Q: Let f(x)=x^2−8x+5 with domain 0<x<4 Calculate (f^−1)′(−2)

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Q: f(x) = x²-6x+5, what is the domain of the inverse of the function  (f^(-1))?

A: f(x)= x2 -6x +5 f(x)= y= (x-3)2-4 Graph of f: f(x)= (x-3)2-4 is an upward parabola having veterc at…

Q: If f(x-1)= x?_16x+3 find fex+i) %3D

A: Given f(x-1)=x2-16x+3 we have to find f(x+1).

Q: 2. ~P → (~Q ^P) P F F T F F

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Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

Q: Let f(x, y) = (- (4x + y))8. Then 22 дх ду òàò ([-(4 *x + y)]³)= дх ду дх 82 ә дх2 ду ([-(4* x +…

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Q: Show that f-(A U B) = f-'(A) U f-'(B) and f-1(A n B) = f-'(A) nf-'(B) for any function f. Is the…

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Q: Construct the table of signs for f'(x) and f"(x) ginve f(x)= x4ex on its domain of (-inf, +inf)

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Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

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Q: Suppose / (x)= - . What is the value of f "(-2)? A B D

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Q: Evaluate f, Iz2 – 4| dz

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Q: If you need to prove that a ∈ f^−1 (Y ), what do you need to show?

A: Here we need to show the way to prove a∈f-1(Y)

Q: Show that if f (x, y, z) = 0 then = -1.

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Q: Show Vx Vy[p(x, y) → ¬p(y, x)] E Vx¬p(x, x)

A: Please check the answerin next step

Q: let f(x) = ax+b divided by cx+d.   What conditions on a,b,c, and d guarantee that f^-1 exists?…

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Q: 9. For each n E IN, let Xn be the set of polynomials of degree equal to n, and let Pn = U_0 Xk. True…

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Q: ((x)d) (xA) ≤ ((k)b ^ (h).i ~) (hA) O ((x)d ~)(xA) ← ((h)b ~ \(h)i) (h=) O ((x)d ~)(xA) ← ((k)b v…

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Q: 5. Use the graph of ƒ '(x) shown and the fact that f(2) = 14 to find the value of f(12). f’(x) 8 3…

A: Notice that the graph of f'(x) on 2,8 is a upper semi circle with center (5,0) and radius 3.…

Q: Which of the following are generally NOT true, for any given function f:X-->Y and subsets A and B of…

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Q: - 2 x f (æ) = V

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Q: Let f() - 4x2- 19x, Determine the largest n for whichfe C.

A: Given fx=4x223-19x7111.  f∈Cn implies that nth derivative fn exists and continuous. Consider…

Q: Giren f(e) = 2x+1 and g(4) = x*+ 2x-1, in (- () Then valute he difcene hen x=2.

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Q: Suppose that f(-4)=3, f'(-4)=0, g(-4)=3, g'(-4) = 4. Use this to compute (f•g)'(-4)

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Q: Let F ~ F4,5. Assume c₁ satisfies P(F > c₁) = 0.05 and P(F< c₂) = 0.05. Then, c₁ =_ and C₂ = (b).

A: It is given that F∼F4,5 c1 and c2 are two constants such that P(F&gt;c1)=0.05 and P(F&lt;c2)=0.05

Q: 15. For f (x) = x ^ 3 -12x + 10 the interval where f (x) is concave downward is: A. (0, ) b. (-00,…

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Q: Find domain of the follaw ing fanctionss (^) f(x)= In-2) (6) 67 F=

A: fx=lnx-2 the log function is defined for only positive real numbers so the value of x-2 should be…

Q: Calculate R_5 for f(x)=2x^2+8x over [-1,1].

A: Given: fx=2x2+8x The interval is -1, 1

Q: Show that if F: AB and G, H F"" (GUH) = F"" (G) U f" (H) and F" (Gn H) = F²¹ (6) ^ F-1 (H) are…

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Q: Suppose that the average number of M= (32+27t)/(2t+7) where t is the number of days on the (a) Is…

A: Given that: M=32+27t2t+7 Simplify it. M=27t+322t+7=272-1252t+7

Q: f^-1[f[A]]

A: The domain of a function y=fx is a set of possible values of the input variable at which the…