The function f(t) = aet, where a and k are real constants and 120, is a mathematical model that can be used to describe which of the following situations? Select all that apply. Interest compounded continuously Population growth Radioactive decay Simple harmonic motion

Q: For the functions given, find a) (f • g)(x) and b) (f•g)(2). f(x) = x- 5, g(x) =x+8 a) (f•g)(x) =…

A: Here two functions are given f(x) and g(x) . We have to find the composite functions. That is…

Q: For Discussion 57. Consider the linear function f(x) =x – 4. If x is changed by 1 unit, how many…

A: This question is asked about the change in the function value y corresponding to change in the value…

Q: * +(x) = 3x6-4 (x-k)² +17, the value of the parameter k for f(x) to be a function pair IS?

A: For f(x) to be a function pair  it needs to be one-to-one, which means that each input value must…

Q: 3 Let f(x) = ー1 Find f-1(x) and (ff)(x). Explain in detail all the steps.

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Q: What is the vertex of the function f(x) = 19(x+6)2 %3D O (19, 6) O (6, 19) O (6, 0) O (6, 0)

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Q: Find the values and expressions in parts a through h for the function f(x) = /x< +5x. (a) f(0) (b)…

A: Since you have asked multiple subpart,as per our guidelines we are supposed to answer only first 3…

Q: Let H be a function (in cm) which models the average height of a month old pea plant if given w L of…

A: Let H be a function in cm which models the arerage height of a month old pea plant if given w L of…

Q: X + Y IF F 2+F(X)+F(Y) FOR ALL X, YeR 3 AND F(2).THEN DETERMINE F(X).

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Q: It's urgent solve in 15 min. : Consider the following production function where Y denotes output…

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Q: In high school and college, students’ study and memorize large volumes of information. The law of…

A: Given, function of percentage of information is f(x)=80e-0.5x+20…

Q: Given f(x) = 3x²– 12 and g(x) = 2x + 1. Find g(f(x)).

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Q: 6. Given the function f (x) = x² + x - 3, find f (x + 1) 7. h(x) = 2×+ 1, find h(3) 1 8. Given f (x)…

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Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

Q: Let f(x) = x² + 5x and g(x) = 4 – x. Find (-2). (- 2) = (Simplify your answer.) %3D

A: As the domain of both f(x) and g(x) is R. (f/g)(x) = f(x)/g(x).

Q: (1 point) Let f(r) = 12 - 6x and g(x) = x – 6. Evaluate the following: | 1. (fog)(z)= 2. (go f)(z)=…

A: The composition if two functions can be defined as when we combine two functions in such way that…

Q: 1) f(x) = V1- x?

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

Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

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Q: swimming pool company is selling pools and offers building pools from 1 foot to 15 feet deep. The…

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: Given the function f(x,y,z)= x²e3y+yln2z. Which of the following is wrong? Select one: f,(1,0,2)=2…

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Q: For what value of x does the function g(x)=-1/3x3 +2x2  convex

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