Exercise 15 Find the values of the variables for which the function L(X) = 5.2x1 - x2 takes extreme values, provided that: [2x₁ +5x₂ > 10, x₂-3x₂ ≤ 3, (-x₂ + x₂ ≤ 1₂ X120, X2≥0.

Q: Find the requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

Q: 15. Given the fumctions a(x) = x² + 2x- 1 and b(x), shown on the graph below, find P(x), where P(x)…

A: Given:  a(x)=x2+2x-1. b(x)=x+3. Determine the function P(x).…

Q: A culture of bacteria in a laboratory is subjected to a substance to decrease the number of bacteria…

A: Set e-t2+5t+3 equal to 100 and then solve for -t2+5t+3. e-t2+5t+3=100ln e-t2+5t+3=ln 100…

Q: (2-3x -15xS1 (x)={x-2 nsider the piecewise linear function given by the formula f (x) =< Determine…

A: To find the solution of the given equations

Q: The annual number of cars and trucks sold by a dealership can be modeled by the functions given…

A: Given: x is the year from 2000 Cars sold: c(x)=1.118x3-22.1492x2+95.2693x+1210.7673 Trucks sold:…

Q: Show that f(x) = 2/x2 + 3x4 – 5x6 is an even function

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Q: = · (x² + 2x − 12) (x³ + x² − 12x). If there is more than one answer, enter your answers as a comma…

A: The objective of this question is to find all the zeros of the given function. A zero of a function…

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: A.INSTRUCTION: Evaluate the following Functions (2): fx)= 2x - 6x + 5 /(- 6): f(x) = V3x – 5 S(4):…

A: Topic - functions

Q: Suppose function f has the graph as shown below. Find the value of the indicated quantity if it…

A: The objective is to find the value limx→1-fx where the graph of fx is provided below,

Q: Demonstrate that the equation - 5x + |– 9y| = 10 does not represent a function by picking an input…

A: To  choose an input value x such that the given equation gives two output values y .

Q: Given functions f and g, find fg. f(x) = 7x+2, g(x) = 4x + 5

A: we are given two functions and we need to find out the product of the functions.

Q: Please determine the domain of the function

A:

Q: for which value of 'a' the function 5x3 – 625, x5

A: As  we know that; If the function is continuous at x=a then;…

Q: Identify the number of zeroes and the max number of extrema for the following function. g(x)= 3x²…

A:

Q: Find the intervals in which the function f(x) = 4x -6x² +3 is increasing /decreasing.

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Q: 11. Decide algebraically if the functions given below are even, odd, or neither. a) f(x) = -7x - 3x3…

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Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

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Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

A:

Q: Each function F has domain (0,1,...,23,24). Which function F satisfies the 5-to-1 rule? F(x) =…

A: A function f is said to follow 5-to-1 rule if for every value y in the range of f, there exists five…

Q: Suppose the coordinate (2, -4) is on the function k(x). If h(x) = k(x + 10) + 5, when k (x) is…

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Q: Q.1. Which of the following function is even ? 4 _A) f₁(x) = x² + x³ -B) £₂ (X) = x² + x² + x³ c) £3…

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Q: Given that fX) -4X +5 is a one-to-one function. Determine f

A: