Give the domain of f, the domain of g, and the domain of m, where m(x) = f[g(x)]. f(u) = In u; g(x)=√2x The domain of f is (Type your answer in interval notation.)

Q: Select the function that is (nlogn) 1) 5n+17logn 2) 6nlogn+n¹1 + 2 3) 23nloglogn + 3nlogn 4)…

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Q: What is the solution? 3x2 - 2x 9 %3D

A: Given equation is 3x2-2x=9. Let us recall that the solution of the quadratic equation ax2+bx+c=0 is…

Q: (x? - 1)² dx = x$/5 - 2x/3 + x + C Select one: O True O False Jdx/(1 - 2x) = 1/2 In|1 - 2x| + C…

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Q: 29 For /(x) %=Dx-웃, x <0, fnd (f-')'( - 꽃)· 6 4 29 (5Y(-) = help (numbers) 4

A: We first find x for which f(x)=-29/4

Q: 8. Rewrite VVd*in exponential form.

A: dxmk=(dx)1mk              = dxmk             =dxm1k

Q: Chart 23: Model of Cumulativ& Cases of Coronavirus with Social Distancing Measures Taken One Day…

A: There are three graphs above Black, Red and GreenFor exponential function: the slope (f'(x)) is…

Q: -3 7) log4 x = 2

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Q: 7. Which of the equations are TRUE based on the exponential function 6* = 36 %3D x = 6 x = 2 x =…

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Q: Express in terms of sums and differences of logarithms. 2 In In 3 3x y 2 3 3x y

A: Given:ln23x3ywe need to express this logarithm in terms of sums and differences.We know thatln (ab)…

Q: (4³ + 6)%,' = x^(,5 + 6)5 y

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Q: (-1)"(36)" (2n)! Use a McLaurin's to find round your answer to four digits after the decimal sign.…

A: By using a MacLaurin's to find.

Q: Suppose So(x) = max(0, 13000–102-0.8r- 15000 where age x is %3D measured in years. Calculate the…

A: I think to solve this problem using Bayes theorem will be a good idea. Let us consider that the…

Q: 2 1. Express log,(64 x v64*) + log, (46 V256. 43 logarithm

A: Using log44 = 1

Q: Given this recursive rule, identify the exponential function rul Yn = 30 x 4.5 O Yn+1 = Yn x 4.5 O…

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Q: Determine the principal value of (3+j2)^(3+j2)

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Q: 1 00 1 1 00 3 -1 0 1-1 1 10 1 S =

A: solution is given below

Q: log32435

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Show that the multi-period logarithmic return is additive

A: To show that the multi-period logarithmic return is additive:

Q: 1. log,(12) + log6(3) log_( 2. log 250 +log 40 log_(_ 3 3. loga a) + log8 (;) log_(_ %3D ||

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Q: 10. Prove that (log2 3)-1+ (log4 3)-1 < 2.

A: Simplify the powers of the term (log23)-1+(log43)-1 by writing the terms as fractions.…

Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of…

Q: RA 3. mQS 128 P. T.

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Q: [Delhi Univ. B.A. (Econ. Hons.) 20001

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Q: Select all of the expressions that are equivalent to O U O U U log, (81) 81 log (1) 9 log₂ (9) log$1…

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Q: ſ csc' xdx

A: Solution is written in below steps.

Q: If P(A) = 0.53, P(B) = 0.3, and P(A and B) = 0.15, then P(A/B) = (Please round to two decimal…

A: P(A)=0.53P(B)=0.3P(A and B)=0.15

Q: Evaluate x' V1+x? xp=

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Q: 1 1 + log, N' log, N 1 1 + log, N log 100 N where N = (100!)³

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Q: If log₂ (6x + 6) = 2, then x

A: We need to find the value of 'x' using the given expression: log26x+6=2

Q: Prove algebraically that  A+A'B'=A+B'

A: We have to prove algebraically that  A + A'B' = A + B' We know that, the distributive property  A +…

Q: 3x'e* (x* +1)* 3e a) -+C 2(x² +1) 3e* b) 2(x² +1) +C x? +3 x +1 3 c) +C .2

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Q: How was the birth calculus attained?

A: Calculus was borned, rather developed independently by Newton and Leibniz, this marked as one of the…

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) Let A={1,{2},{1,{2}}} (a)True or false: 2 € A, {2} € A, {{2}}CA, {1,2}CA, 3x(x € A^xA)

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Q: Convert the quadratic into standard forms showing work to change forms. Then, state the roots and…

A: we have to find

Q: properties of logarithms to

A: Use properties of logarithm to expand the given expression Explanation:(1) We know that by quotient…