For each pair of functions, find f(g(x)) and g(f(x)). Simplify your answers. 1 7 1 2 21. f(x)== -₁ 8(x) = ² + + 6 22. f(x)=¹4, 8(x)=²+4 X-6 X X-4 23. f(x)=x² +1, g(x)=√√x+2 24. f(x)=√√x+2, g(x)=x² +3

Q: Darwal sells computer networks to educational institutions, and he earns an annual salary of $29,000…

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Q: QUESTION 15 The interior angle of a regular decagon (10-gon) has a measure of: OA. 18⁰. OB. 36º. OC.…

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Q: Select the following equation which does not have a solution. Select one: A. -2x - 3(2x+1)= -8x+7 B.…

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Q: 9. The point (-1, 2) is reflected vertically, and shifted up 3 units.

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Q: f(x) = -(x² + 2x-3) 1.) Vertex (x₁ + (x)) = ( 2.) Axis of symmetry 3.) x-int. (x₁ + (x)) = (…

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Q: 1. How many arrangements could be made of the word GRATEFUL if: o there are no restrictions? o the…

A: Given: GRATEFUL

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A: Two cylinders, P and Q, are mathematically similar. The total surface area of cylinder P is 90π cm2.…

Q: 5.1 8.) 9. L all polynomial لك solutions of t equation: 3x³ + 2x² - 11x-6=0 Use long division and…

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Q: 20. Which of the following is a counterexample for the conditional statement "All prime numbers are…

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Q: Find a vector equation of the plane containing the points ?(2, 0, −1), ?(3, 4, 0), and ?(4, −1, 1).

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Q: The National Education Association collects data on the number of years of teaching experience of…

A: We have to identify potential outliers for the given data.

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Q: 31. If A and B are sets and An B = A, then ОВСА O B is empty O AC B A and B are

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Q: x- 2. Find a vector equation of a plane that contains the line y+2 -2 and the point A(1,2,1).

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Q: Classify the two given samples as independent or dependent. Sample 1: The weights in pounds of 12…

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Q: Point A// For the following LP model, determine the optimal solution using the .simplex method Max…

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Q: z z tzb ₂9 + 90 2 + ₂b = ₂ ( 9 + b) (a z ८

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Q: . Consider the following sets of vectors in R³. Explain how you know that vectors in each set are…

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Q: Use the Remainder Theorem and synthetic division to find each function value. Verify your answers…

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Q: Select the correct interval solution to the following inequality: x + 10 ≥ 15 - x Select one: A.…

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Q: Let p (x) = 12x4−67x3 + ax2−122x + 40  Determine all zeros of the polynomial p when it comes to p…

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Q: 22. Find the Equation for the following graph. State each transformation. Hint: The parent function…

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Q: 20. Given ₁ r = (1, -2,) + t(1,1) and l₂: r = (2,0) + s(-3,-3) determine if land l₂ will intersect…

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A:

Q: QUESTION 23 You have $3500 that you invest at 4% simple interest. What is the balance after five…

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Q: QUESTION 11 Which of the following polygons can tile the plane? I: regular octagon II: nonrectangle…

A: Option (D)

Q: P P Area= p²+6p+8 sq units

A:

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A: Given :70% of all adults over 50 wear glasses for driving

Q: use the approach in Gauss's problem to find the following sum of arithmetic sequences.…

A: Topic = Series

Q: 8) A School has 500 students, 345 students like Blue and 275 like Red.   There are 42 students who…

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Q: ½₂ [21:46667] ² = 32-2 [2001-cose)] Thén .89.9

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Q: 3-Prove that f(z)=z² analytic

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Q: 8. Let V={(x,y)x,y € R}. Define addition on V as follows: (x»x)+(x,y)=(x +2x, 1,y+Y,+2) Find the…

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Q: 1. Determine if the graph is periodic. If it is, what is the amplitude and period? 41 64-20 2) Graph…

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Q: Goran borrowed $5000 from a lender that charged simple interest at an annual rate of 9%. When Goran…

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Q: g(x) = x4 − 2x3 + 5x2 − 8x + 4 Write the polynomial as the product of linear factors. g(x) = _____…

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Q: Solve −5(w−5)=−5

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Q: 10. Suppose a four-year old boy is currently 39 inches tall, and you are told to expect him to grow…

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Q: 14. Prove that (1- cos x) csc x = 1

A: