FUNCTION OPERATIONS AND INVERSES Composition of two functions: Basic Suppose that the functions u and w are defined as follows. u (x)2x+2 ()x2+1 1V Find the following. (w u)(-5) O ? (u o w)(-5) = X

Q: x5y7/x-2y7

A: The given expression is x5 y7 / x–2 y7.

Q: A sample of 125 light bulbs contained 3 defective bulbs. How many defective bulbs would you expect i...

A: Given infromation:A sample of 125 light bulbs contained 3 defective bulbs.Calculate:P(defective)=3/1...

Q: O SYSTEMS OF LINEAR EQUATIONS Solving a word problem using a system of linear equations of. A store ...

A: Let the cost for each pound of trail is $x.Let the cost for each pound of trail is $y.For 9 pounds o...

Q: In which set(s) of numbers would you find the number√80* irrational number*whole number*rational num...

A: Natural numbers is the set of counting numbers i.e. 1, 2, 3,…So √80 is not present in this set. Whol...

Q: 33) Use the numerical representation of f(x) below to give a numerical representation of g(x)-f(2x) ...

A: To evaluate g(x) at various points using the definition in terms of f(x)

Q: Problem 6.37

A: Since f(x) is of degree 5, then f(x)-1 is also of degree 5. And given that f(x)-1 is divisible by (x...

Q: How do you find the zeros and multiplicity of the function x^3+5x^2+7x+3 given that one zero is -1

A: Consider the given function:

Q: I want to start a lemonade stand and determine how much lemonade I need to sell to break even each d...

A: Let x be the number of glasses of lemonades.Given that, $0.50 per glass is spent for lemonade each d...

Q: Solve the following equation for B u=8B B ? X

A: Given information:The given expression is  

Q: Determine whether each proportion is true or false. 27) 8/10 = 2/5/2

A: The given proportion is 8/10=2/5/2.It can be written as 8:10=2:5/2.

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a value mixture problem using a system of linear equ Espa...

A: It is given that the first car has fuel efficiency of 20 miles per gallon of gas and the second car ...

Q: Find the average rate of change of the function f(x) yx from x, 81 to x,-144 The average rate of cha...

A: We are given,

Q: Graph functions f and g in the same rectangular coordinate system. Graph and give the equations of a...

A: Graphed them using graphing calculator. Red line is y=3^x and blue line is y=(1/2)*(3^x)

Q: How ti solve? Step by step

A: Simplify the given expression as follows.

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate loga...

A: Given expression is, 

Q: When solving systems of we have at least two unknowns. A common example of a system of equations is ...

A: The unknowns in the given system are the quantities of water and cleaner.

Q: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .

A:

Q: #38

A: From the given information, it is observed that the total length of the hardwood floor is 72-in. and...

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: A car is purchased for $31,000 . Each year it loses 30% of its value. After how many years will the ...

A: Let the depreciated amount be represented by D(t). then according to the given condition.

Q: What is the hypothenuse of an octagon?

A: Hypotenuse is the longest side of a right-angled triangle, opposite the right angle.

Q: Graph the circle 4x^2+4y^2+8x-24y+31=0

A: The given circle equation is

Q: For 1-5, use the following function and use proper set builder or interval notation when appropriate...

A: The domain of the function is the values of x. And we have -3<= x <= 2 and x>2. Combining t...

Q: Simplify the difference quotients f(x+h) - f(x)/h and f(x)-f(a)/(x-a) for the following function by ...

A: Given:The function is 

Q: if x<0 and y>0, determine the sign of the real number.  1 (a) xy   (b)x2y  (c) x/y +x  (d) y-x

A: Calculation:(a)The condition on given real numbers are x<0 and y >0.That is, the condition x&l...

Q: Solve the given system of equations. 5x+2y-5z 7 3x-4y+3z -31 6x-5y+ 6z - 59 Select the correct choic...

A: Method of Substitution:

Q: Number of Students: In a certain school 80% of the students in first-year chemistry have had algebr...

A: Total number of students in first year chemistry is 280.In which, 80% students have had algebra.Ther...

Q: Use the Rational Zero Theorem to list all possible rational zeros for the given function. fx) -3x-4x...

A: First we have to find all the factors of 6.  

Q: Find an equation of the circle whose diameter has endpoints , 46 and , 4−4 .

A:

Q: Determine whether the following equation is true or false. If the statement is false, make the neces...

A: Given statement is, 

Q: 35) Complete the table below to create an odd function f. x 60 246 3 -12 f(x)

A: Given:The function is an odd function.That is, f(-x) = -(f(x)).

Q: Find all real zeros of the function f (x) = 4x^3 −3x −1

A: Consider the provided function:

Q: #14

A: Explore: The admission rate for adults in a water park is $19 and for children, it is $16. The group...

Q: Evaluate the following expression without using a calculator. log 93 log g3=(Type an integer or a fr...

A: Given expression is, 

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the or...

A: We are given logarithmic  equation as 

Q: Write the complete factored form off(x)=2x^3-3x^2-32x-15 given that k=-3 is a zero.

A: To calculate the complete factor of the function f(x)=2x3-3x2-32x-15 and the one zero of the provide...

Q: A car rental company charges an initial fee plus an additional fee for each mile driven. The charge ...

A: The charge to rent economy car is given by the function,

Q: The number of bacteria in a certain population increases according to a continuous exponential growt...

A: To use the given data (exponential model) to determine the initial data

Q: Algebra Question

A: Refer to the question for the given function f(x) = 4x2+12x-40 and g(x) = x + 5. we need to calculat...

Q: O LINES AND FUNCTIONS Combining functions to write a new function that models a re... Leila and her ...

A: The amount saved by Leila,

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a value mixture problem using a linear equation Esp...

A: Let x be a number of pounds of type A coffee.Here, total number of pounds is 155 and two types of co...

Q: Simplify the difference quotient f(x)−f(a)/x−a for the given function.   f(x)=2-6x-x^2

A: The given function is f (x) = 2– 6x – x2. Substitute x = a in f (x) = 2– 6x – x2 to obtain f (a). f ...

Q: Number of Students: If 55 people enrolled in a psychology course but only 25 completed it, what per...

A: Given information:If 55 people enrolled in a psychology course but only 25 completed it.Calculation:...

Q: Solve each system by elimination #6

A: The system of equations is given as

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 10x2 gx)= $2 5x+8 Sele...

A: This graph has horizontal asymptote because the degree of numerator and denominator are same.

Q: Answer the following questions about the equation below. 12x3 +53x-34x + 5 = 0 (a) List all rational...

A: We are given an equation. 

Q: Graph the solution to the following system of inequalities. <+4x3y−12 ≥+−5x3y−9 Then give the coo...

A: To solve the given system of inequalities graphically

Q: 3 Express the given function h as a composition of two functions f and g so that h(x) =(fo g)(x), wh...

A: Given that h as a composition of two functions f and g.

Q:

A: The given quadratic equation is,

Q: Find all rational zeros of the function f (x) = 9x ^4 −9x ^3 −58x ^2 +4x +24

A: Consider the provided function.