First find f+ g, f-g, fg and Then determine the dormain for each function. 9 9x+5 8x+3 f(x)= g(x)= 2-4 -4 ) (Simplify your answer) What is the domain of 2 O (00,00) O (00,0)U(0,00) O (00. 2)U-22)U(2 c0) (-00, - 2)U 8 8 Click to select your ansterisi o search HEWLE T T PA C KA R D OOOO

Q: At the movie theatre, child admission is $5.70 and adult admission is $9.70 . On Wednesday, four tim...

A: Let x be the number of adult tickets and y be the number of child tickets be sold.

Q: Determine algebraically whether f and g are inverse functions.  f(x) = 5x - 3          g(x)= x+3/5

A: To show f and g are inverse functions, we have to show f(g(x))=x and g(f(x))=x. 

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) =2x"-11x +4 has a real: zero bet...

A: We have to find f(-2) f(-2)=-8

Q: Explain why it is important to understand the base for a number as well as the value.

A: In the standard numerical system, the base is the number which is used to represent the value of the...

Q: The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of ...

A: Drag force F directly varies with surface area A and square of the speed s.Wet surface area of boat ...

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: O LINES AND FUNCTIONS OD Paul Combining functions to write a new function that models a re... Españo...

A: Given information:The standard charge S (in dollars) is given by the function S=18.95+0.50M, where M...

Q: Over the last 3 evenings, Amanda received a total of 77 phone calls at the call center. The third ev...

A: Let she received x calls on the first evening. The third evening she received 8 calls more than the ...

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

A: We have been given a system of linear equation in 3 variables that we need to solve.

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

A: Consider the provided function.

Q: mplele) (4 pt Use the given conditions to write an equation for the line in point-slope form and in ...

A: Given, Required line passing through the point (-3 , -2) and parallel to the line y = -3x+5.

Q: Given the function f(x) vx-7, (a) Find f (b) Graph f andf in the same rectangular coordinate system....

A: (a)It is given that the function f(x) = √(x – 7).Obtain the inverse of the function as follows.Subst...

Q: 11) In 2006 the average yearly tuition of a private college was $30,000, and it is projected to incr...

A: Let x represents the number of years after 2006 and $ y  represents the yearly tuition fees, When x=...

Q: Scientific notation is a common way of writing very large numbers. In everyday life we see this when...

A: (1)It is given that phone has 10 GB (gigabytes) free storage:Since,

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

A: we are given system of equations as 

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

A: Given statement is, 

Q: Please show step by step how to work out all asymptotes for f(x)=3^x-1

A: Vertical asymptote:The points at which the denominator is 0 or does not exist is the vertical asympt...

Q: Write the quotient in standard form: f (x) = 5+i / 5−i

A: we are given a complex value as 

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: Divide using long division. State the quotient, qo), and the remainder, r(x). 14x+16x+11x2 2x2+3 14x...

A: Used long division 

Q: Solve the inequality (x-3)(x-5)^2<0 Select all the intervals below that are included in the solut...

A: The given inequality is (x-3)(x-5)^2<0

Q: Find the difference quotient and simplify your answer. ​ f(x) = 5x – x2,  f(6 + h)-f(6)/h  , h ≠ 0 ...

A: To find the difference quotient.The given function is f(x) = 5x – x2.Find f(6+h) and f(6) .

Q: Why is rounding a number important?

A: Rounding is a way of simplifying a number to make that easier to understand and work with.Moreover i...

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

A:

Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given ...

A: Calculation:The given quadratic function is f(x)=4(x–5)²–3 , which is the parabola.let the function ...

Q: Approximate the number using a calculator. 2.3 2.3 e (Round to three decimal places.) Enter your ans...

A: We first plug e^2.3 in the calculator. 

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) =2x"-11x +4 has a real: zero bet...

A: We first have to find f(-2).

Q: Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worke...

A: Let the first mechanic charged $x per hour. And the second mechanic charged $y per hour. Given that ...

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: 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: A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a fun...

A: (a)We have to find the time taken by the ball to reach at maximum height.The height function of the ...

Q: The graph to the right is a complete graph, that is, it is continuous and displays the function's en...

A: Explanation:(b)From the given graph, it is observed that the graph of the function is rising towards...

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.4 meg...

A: Given:The size of the standard version is 2.4 megabytes (MB). The size of the high-quality version i...

Q: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate ...

A: We are given decaying rate r=7%r=0.07

Q: Consider the arithmetic sequence with the first term ai = 300 and common difference d=-90. What are ...

A: In an arithmetic sequence the terms can be obtained by adding the common difference to the previous ...

Q: Use the given function to complete parts (a) through (e) below. fox)-x-9x FX a) Use the Leading Coef...

A: Since the option B’s choices are not visible, I have found only the x-intercepts.

Q: 2x2=5x-1

A: The equation is given by,

Q: 7) In a triangle, the measure of the first angle is twice the measure of the second angle. The measu...

A:

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

A: To calculate the equation of the circle from the provided endpoints coordinate of diameter. The endp...

Q: f Then determine the domain for each function. Given f(x)=x+ 6 and g(x) 4x, first find f+ g, f-g, fg...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Solve for x: 3x+1 = 27

A: The equation is given by,

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: (2z-11)2+3=17

A: Given information:The given equation is (2z-11)^2+3=17.

Q: Solve and graph the solution on a number line: x-3>1

A: We are given an inequality as 

Q: Word Problems: 1) The Golden Gate Bridge in San Francisco is 2604 feet longer than the Brooklyn Brid...

A: 1.Let the height of Brooklyn bridge be x.Let the height of Golden Gate bridge be y.

Q: Multiply. Use the distributive property.   -2(2a-4b)

A: The given expression is –2(2a–4b).

Q: #1

A: The given pair of equation are 2x +5y = 4  and 4x +10y = 1.

Q: Use properties of logarithms to condense the logarithmic expression. Write the expression as a singl...

A: We first use the exponent rule of logarithm. Coefficients become exponents.

Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given ...

A: We are given equation of parabola as 

Q: A traveling salesman figures it costs 31 cents for every mile he drives his car. How much does it co...

A: From given information, observe that the cost to travel for one mile is 31 cents.Compute the cost to...