Question 3 a) Let f and g be the functions from the set of integers to the set of integers defined f(n) = 2n2 + 1 and g(n) = 4n - 2. Find: %3! | (i) fof(-3) (ii) gof(n) (iii) gog(y) (iv) fog(x)

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: Determine 04 O4h 05 O 5h f(2+h)-f(2) h if f(x) = 5x 6.

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Q: Use the function f(x) = -3a? + 7æ + 7 to compute and expand and simplify the following. a. f(-2) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Suppose Var(X) = 32, Var(Y) = 47, and X and Y are independent. What is Var(.15X + .85Y)?

A: Given, a  and . and  are independent random variables.It is required to find the .To solve this…

Q: The domain of the function f(x): 11x+8 is x+4 • R-{-4} 10 • R • R-{8} • R-{11}

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Q: Find and simplify the difference quotient f(x)=x² + 4x-5 OA. 2x+h-5 2x²+2x+2xh+h²+h-10 h OB. OC. 1…

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Q: 1.25a +3> 0.5a-6 and 2.5a 129-1.5a

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Q: A-1 does not exist.

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Q: The domain of f (x) = -x + 4 is {0, 1, 2, 3}, what is the range? O {0, 1, 2, 3} O {1, 2, 3, 4} O…

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Q: Use the given functions to find, simplify, and identify the domain of the following combinations. 1z…

A: The given functions are: f(x)=x+3x+8        and         g(x)=-9x-7x-2

Q: The function f(x) = -X-3)2 - 4, will have a shift of 4 units to the left. O True O False

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Q: 0-64 N

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Q: Evaluate 00 x²dx 1 – 2cos20 x² + x4 -00 where 0 < 0 <T/2. Please also make comments.

A: We can solve this integral by integration method

Q: Consider the following functions. f={(−2,1),(2,−4),(4,−4),(−1,1)}f={(−2,1),(2,−4),(4,−4),(−1,1)}…

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Q: Let the input of a subtractor is A and B then what the output will be if A = B? (а) (b) 1 (c) (d) A…

A: Let the input of a subtractor is A and B then what the output will be if A=B?

Q: Let f = {(4,7), (0,6). (-1,2), (3,3)). Find (a) f(3) and (b) f(4).

A: Given that f=(4,7),(0,6),(-1,2),(3,3). To find : f(3) and f(4).

Q: h(x) а. h(-2) b. h(1) c. For what values of x is h(x) = -1? -2 -2 -1 -1 1 -1 -2

A: Consider the table: x hx -2 -2 -1 -1 0 0 1 -1 2 -2   Find. a) h-2 Since the value…

Q: The function f and g are defined as follows. A. -3 or f(x)%= In(x+1), x>-1 8(x)=x² +2x , x>-1 B. -3…

A: Solved below

Q: Suppose f(x) = - 2x2 – 3x – 1. Compute the following: %3D A.) f( – 3) + f(2) = B.) f( – 3) – f(2) =

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Q: 11:59pm - Aug 1 at 11:59pm 8 days If f(x) = %3D x+4 and g(x) = find (f + g)(x) and %3D x-6 determine…

A: The given functions are: f(x)=2x+4,g(x)=9x-6

Q: ange the functions √, 1000 log n, n log n, 2n!, 2",3", and 1,000,000 in a list so that each function…

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Q: 1) Find the following for f(x) = 2x +3 and g(x) = x² – 4. a. (f o g)(x) owing function b. (gof)(x)…

A: Use method to solve this

Q: If f(x) x+1 4x 3x + 5 13x + 5 3x + 3 13x + 1 3x + 2 and g(x) = 3x x + 3' then (gof)(x) is

A: given  f(x)=x+14x                        g(x)=3xx+3           gof(x)=g(f(x))

Q: If h(x) = x +2, which of the following interpretation is incorrect? h multiplied by g is equal to…

A: Since, given that the function is  h(x) = x+2

Q: Suppose f(x) = 3x2 + a + 6. Compute the following= A.) f( – 3) + f(2) = B.) f( – 3) – f(2) =

A: The given function is: f(x)=-3x2+x+6

Q: 03(1-)(4.3) %3D O = (-)(x + 3) %3D O = (*)(* - 3) %3D Write the expressions for (g-h)(x) and…

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Q: X f(x) g(x) (a) f(g(6)) (a) f(g(6))= (b) g(f(7))= (c) f(f(6)) = (d) g(g(9)) = 5 6 9 6 7 8 (b)…

A: Solution: a)f(g(6)) = f(8) = 8

Q: Complete the table by evaluating the function h(x) = (2.x – 5) for the given values of x. h(x) = (2x…

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Q: 1. Which pair of functions is equivalent? а. fx) -- 8x* - 5х — 3 g(x) = 8x + 5x + 3 c. Ax) = (-óx? +…

A: Explanation of the solution is given below...

Q: I have to write 0 in the form of a/b

A: write 0 in the form of a/b