57. f(x) = ax +b g(x) = cx + d ax + b cx + d 58. f(x) 8(x) = mx

Q: Show that if f1(x) and f2(x) are functions from the set of positive integers to the set of real…

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Q: If f(n) and g(n) are multiplicative functions, and g(n) does not equal 0 for all positive integers…

A: Definition 1 : A function f: ℕ→ℂ is said to be arithmetic function .   Definition 2 : An arithmetic…

Q: ) dar. 1 Evaluate f(x + 9x 2

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Q: Let f be a function with the following known values f( – 1) = 1, f(0) = – 4, and f(3) = 5. %3D Let g…

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Q: If f is one-to-one and f( – 15) = 1, then || f-1(1) = and (f( – 15))¯ ||

A: The objective is to to find the required values

Q: If f is one-to-one and f(6)=9, then f−1(9)=  and (f(6))−1 =

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Q: By definition, (f ∘ g)(x) = ?     . So if g(2) = 4 and f(4) = 19, then (f ∘ g)(2) = ?

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Q: Let f and g be defined by the following table:

A: We have the given table :       x  f(x) g(x) -2 6 0 -1 3 4 0 -1 1 1 -4 -3 2 0 -6…

Q: Let f and g be defined by the following table:

A: The given table is : We have to find: f1-f0-g12+g1÷f-1·g2

Q: In a certain lake, the bass feed primarily on minnows, and the minnows feed on plankton. If the size…

A: Given, f (n) = 50 + 2n>150 and g(x) = 4x + 3. we have to evaluate the size of the bass population…

Q: For f(x) = 5x – 1 and g(x) = 5x2 – 1, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A: given function:-      f(x) = 5x - 1      g(x) = 5x2 - 1

Q: If f(x)=[x+4]-7 which of the following functions would translate f(x)1 unit to the right and 3 units…

A: Translation on f(x) Function  Translation Function after translation f(x) a units right f(x-a)…

Q: f(x) = x2 + x + 3  and  g(x) = x − 4,  find the following. (a)     f + g       (b)     f − g

A: f(x) = x2+x+3   and  g(x) = x-4   a) f+g = x2+x+3+x-4       = x2+2x-1 b) f-g = x2+x+3-(x-4) = x2+7

Q: On the set of real numbers x2 + y2 = 1 Function. If x is a real number and y is an integer number:…

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Q: If f(x) = x2 + x + 3 and g(x) = x − 5, find the following. (b)    f − g (c)    f ∘ g (d)    g ∘ f…

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