7. The ordered pair (1, 5) belongs to a function f. Explain why the ordered pair (2,1) cannot belong to the inverse of f (f-1) (

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Q: Show that the function is harmonic and analytic w=3Z² + 4iZ

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Q: 6. For the given functions:   i)  Find the inverse of f, ii)  Graph both functions on the same…

A: According to the given information: For part (i) it is required to find the inverse of functions.

Q: For a function f: A --> B and subsets C and D of A and E and F of B, prove the following: f-1(E -…

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Q: 2. Let f,g: R→→→→Rand : RR be given functions. Determine if each statement is true or false. (i) If…

A: Given : f, g : ℝn→ℝ and ϕ : ℝ→ℝ are functions We have to determine if each statement is true or…

Q: Determine whether the statement " If f(x0, y0) = f(x1, y1), then x0 = x1 and y0 = y1. " ,is true or…

A: Given, the statement “if f(x0, y0) = f(x1, y1), then x0 = x1 and y0 = y1’’. We have to determine…

Q: 2. The graph of f computes the number of gallons of water in a tank after t minutes. Estimate each…

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Q: Determine which of the following functions are valid PSDS (i) w6 + 302 +3 (i) exp[- (0 – 1)2]

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Q: Find three solutions for this function: X-4 f(x) = %3D 2х-8 O (( x, y):(1, – X0, 1)(1, –)} O ((x,…

A: The given function is:fx=x-42x-8

Q: 5. Differentiate each of the following functions: a) (x+1)³(x-2)4 b) In x+1

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Q: et f be a function with domain [3,7] and range [4, 14]. If f has an inverse, identify the domain and…

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Q: known that the points (4, 7), (8, 11) and (14, 18) are on the graph of the function y = f(x). It is…

A: Given: (4,7),(8,11) and (14,18)   are on the graph of y=f(x)

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A: We have to check

Q: Consider the following functions. Rw) - st) - (a) Find (e g)(x). Find the domain of feg. OR- (0, 4)…

A: fx=xx-3, gx=4x

Q: The inflection point of the function f(x) = x³ – x² + 5x +1 is: 70 (3, 27 70 (-3,–) 27 (-3 70 (-3,…

A: Given function is fx=x3-x2+5x+1

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Q: . F(2) — /(-2) b. F(-1)/(-2) с. —2/(-

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Q: The relation defined as ((1, 3), (1, 5), (2, 5)} is a function A) True B) False

A: FOR VALID FUNCTION THERE CAN NOT BE MORE THAN ONE IMAGE IN CODOMAIN FOR SINGLE ELEMENT OF DOMAIN

Q: Consider the function f(x) = 2x - 1/ x+3…

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Q: The one-to-one functions g and h are defined as follows. g={(-5, 8), (2, −7), (7, 4), (9, 7)}…

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