Let f = (1, 2, 3) ( 4, 5). Compute each of the following powers of f. f-1 .

Q: Prove that f-1of ldom f iff f-1 is a function from ran f to dom f.

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Q: Which of the following relation is a function? a) S = {(1,–2),(–3,6), (-3,2), (-1,6) b) T = {(-2,3),…

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Q: Use the IVT to show that f (x) = x3 + x takes on the value 9 for some x in [1, 2].

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Q: Let f = {(- 2,1),(1, - 1)} and g = {(-2, - 4),(3,0),(5,6)}. Find f+g and its domain.

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Q: Let f(x) ƒ¯¹(-4)= = x+1 x+8

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Q: 53. H(z) = sec“(/=)

A: Topic : Function

Q: Which of the following relations does not represent a function? {(1, 2), (2, 2), (3, 2)} В. ((1, 1),…

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Q: Draw a diagram out of these sets

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Q: 2 Ax.y)3+ V 3x + 3y

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.