Use f (x)x2 +3x and gx)-1 for problems 22 and 23. 22) a) Find (f - g)(x) and identify its domain b) Find (f+ g)(-3) 23) a) Find (f/g)(x) and identify its domain b) Find (fg)(-2)

Q: Find an equation of the circle whose diameter has endpoints (-5, 6) and (3, 2). X

A:

Q: List all values of x for which each rational expression is undefined.

A: Given information:The given function is as shown below: 

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: Adding second and third equation

Q: Given the functions f(x)=3x-5 , g(x)=2x^2-4x+8 , h(x)=30(1.5)^x , p(x)=5x-4/x-2 evaluate the followi...

A: Given the function f(x)=3x-5 and h(x)=30(1.5)x.And, Now simplifying  the composition of the two func...

Q: explores the ideas of addition and Let's put these ideas together. Simplify each expression. a. 4x.4...

A: a)Here , we multiply, constants separately  and variables separately, and use result ( x^m )(x^n)=x^...

Q: Explain how the vertical line test is used to determine whether a graph represents a function. Show ...

A: The basic definition of a function is that for every unique input x there is a unique output y.the v...

Q: Simplify the expression 4 (10n^2-2) -5 (8n^2+4)

A: Consider the given expression

Q: Fill in the blank to make the expression a perfect square. 2 12y X

A: The given expression is,

Q: Create a Venn diagram to illustrate each of the following:26. (D ⋃ E)c ⋂ F

A: The shaded area is (D U E)

Q: Solve the polynomial inequality and graph the solution set on a real number line. Express the soluti...

A: The given inequality is,

Q: For f(x) 1-x and g(x)= 2x +x+6, find the following functions a. (f o g)(x): b. (gof)(x); c. (fo g)2)...

A: Answer: (a): -2x^2-x-5

Q: 6x-17 in the form quotient, plus remainder divided by divisor. Then use this form of the function's ...

A: First we do long division. Answer: g(x)=6+1/(x-3)

Q: 6) An office manager booked 55 airline tickets, divided among three airlines. He booked 7 more ticke...

A: Let the number of ticket that an office manager booked on United airlines be x.Let the number of tic...

Q: Linda, Frank, and Chau sent a total of 76 text messages over their cell phones during the weekend. F...

A: Let the text messages that Linda got be x.Then the text messages that Frank got is 8+x.The text mess...

Q: Solve by the method of your choice. 7x-2y 6 4x+y 12 Select the correct choice below and, if necessar...

A: We multiply the second equation by 2 and add to the first equation. So, x=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: First find f+ g, f-g, fg and Then determine the dormain for each function. 9 9x+5 8x+3 f(x)= g(x)= 2...

A:  The functions are

Q: Solve the compound inequality. -3v 6 2v-4 4 or Write the solution in interval notation If there is n...

A: The compounded inequality is given by,

Q: 8÷2(2+)

A: To simplify the expression, the PEMDAS rule is used.PEMDAS stands for Parenthesis, Exponents, Multip...

Q: Does the relation y(x + y) = 1 specify a function? Explain.

A: From y(x+y)=1 we try to solve for y first.  Used the quadratic formula to solve for y.

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linttarinequality Interval notation Espa...

A: The first inequality is,

Q: Solve the exponential equation by expressing each side as a power of the same base and then equating...

A: We use 4=2^2 and 8=2^3

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

A:

Q: Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of th...

A: In order to sketch the graph of quadratic function, convert the given quadratic function into standa...

Q: 8) Use f(x) x-4x +2 and g(x) 5x-4 for the following a) Find S-g b) Find (flg)(x)and give the domain ...

A:

Q: The functions f(x)=0.0875x-1.3x + 61.7 and g(x)=0.0875x +1.9x +11.1 model a car's stopping distance,...

A: (a) For x=35 we have to find f(35).Answer: Stopping distance on dry pavement = 123 feet.

Q: In 2000, 51% of the residents in a large city regularly used newspapers for getting news and this ha...

A: It is given that the percentage of Residents who get news by reading newspaper is 51%.It is also giv...

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: Collect like terms and then arrange them in descending order.-x+5/8+30x^3-x-1/2-3x^3

A: Here the given expression is

Q: 3m+24=6m-3

A: Firstly, we subtract 6m from both sides of equation and then we subtract 24 from both sides

Q: A ball is thrown upward and outward from a height of 5 feet. The height of the ball, fx), in feet, c...

A: Given information: A ball is thorwn upwards and outwards from a height of 5 feet. The height of the ...

Q: Write the equation in its equivalent logarithmic form. 5 125 What is the equivalent logarithmic form...

A: We have to use definition of logarithm.

Q: Use the graph of y - f(x) to graph the function g(x)=f(x)-2 Choose the correct graph of g below y fx...

A:

Q: 5+2x-x-4+8x

A: To simplify the provided algebraic expression which is provided as 5+2x-x-4+8x. Now, first group the...

Q: I am having difficulty with problems involving piecewise. Can I be helped in a step-by-step tutoring...

A: Piecewise functions are: pieces of different functions (sub-functions) all on one graph. The easiest...

Q: Does the relation x(x + y) = 1 specify a function? Explain.

A: Refer to the question, we have to specify the relation, x(x + y) = 1 is a function.Then according to...

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: Graph the hyperbola (y+3)2/16-(x+6)2/4=1

A: The given equation is (y+3)2/16-(x+6)2/4=1.

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as ...

Q: Use the One-to-One Property to solve the equation for x. ex2-4  = e3x ​

A: Refer to the question,According to one to one property of exponents if bases are same, af(x) = ag(x)...

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: Solve the given equation for x - 1•9 - 6 x = 7 •1

A: To solve the equation, PEMDAS rule is used to simplify the equation and then the variable is isolate...

Q: what is the square root of 291

A: The square root of  291 is,

Q: Solve and graph the solution on a number line

A: Given infromation:The given inequality is x-3&gt;1Calculation:x-3&gt;1x&gt;1+3x&gt;4Graph: 

Q: Use the graph of the function ffor the following 2) a) Find the domain and range of the function b) ...

A: Domain of function f(x) is the set of all values of x for which the function is defined and Range is...

Q: The graph of a function is given. Determine whether the function has an inverse function. Does the g...

A: This graph satisfies vertical line test.  

Q: Find the domain of the following rational function. 19x +X H() +8 Select the comect choice below and...

A: The given rational function is

Q: #23

A: Given: The point that the line passes through is (−2,3).The equation of the line which is perpendicu...

Q: Find an equation of the circle whose diameter has endpoints (-5, -6) and (1, -6). ? X

A: Center is the mid point of (-5,-6) and (1,-6). Center =(-2,-6)

Q: #25 The speed of a plane in still air is 280 mph. Flying against the wind, it can fly 600 mi in the ...

A: Le the speed of wind is x miles/hour. The speed of the plane in still air  is 280 mph\'. Then speed ...