Find the following for the given functions. f(x) = x² + 3, g(x) = √₁-x (a) (f+g)(x) = (b) (f - g)(x) = (c) (fg)(x) = (d) (f/g)(x) = What is the domain of f/g? (Enter your answer using interval notation.) MY NOTES PRACTICE ANOTHER

Q: The number of bacteria in a refrigerated food is given by N(T) = 1072 207 +500, 1 ≤ T ≤ 20, where T…

A: Given number of bacteria in a food is given by N( T ) = 10T2 - 20T + 500 Temperature of food in…

Q: Use the graph of the function f given below to answer the questions. M G List the values of x at…

A: Given data : List the values of x at   which f has a local minimum.

Q: Find the domain of the function. √x+7 X-5 k(x) =

A:

Q: 13) x +5 1

A: Given query is to find the solution of the inequality.

Q: The current student population of Nashville is 2800. If the population decreases at a rate of 7%…

A: Given: The current student population of Nashville is 2800, and the rate at which the population…

Q: Let u = 13 2 16 and A= -5 10 1 -4 7. Is u in the plane in R³ spanned by the columns of A? Why or why…

A: Given:- Let u=-131610 and A=2-4-5711

Q: Consider the following functions. f(x) = x², g(x) = x + 5 Find (fog)(x). Find the domain of…

A: Given: f(x)=x2 and g(x)=x+5

Q: Evaluate the function. Find f(4) when f(x) = x² - 2x - 1. 23 7 25 9

A: f(x)=x2-2x-1for  f(4) , put x=4 in f(x)

Q: Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the…

A:

Q: Solve for n. n-7=m 0

A:

Q: you are 12 miles away from your home. You start walking at a constant rate of 3 miles per hour.…

A:

Q: so whats the answer for the two boxes?? Circle them next time. I need the answer.

A: As computed in the previous solution, the population Px is given by,Px=28000.93twhere, x is in…

Q: Factor. z +11z+18

A: let B=z2+11z+18

Q: Compute an eigenvector for 9 3 1) corresponding to the eigenvalue of 7.

A:

Q: What is the equation of a line with a y-intercept at (0, 6) and a slope of 3? O A y = 3x + 6 OB y =…

A:

Q: Find the minimum value of f(x) = 6e2x + 6x2 on the horizontal span of -3 to 2. (Round your answer to…

A: The function is given as , fx=6e2x+6x2 Find the minimum value of fx on the horizontal span of -3 to…

Q: Line B is given by the formula: -43W+34Z = 16 What is the slope of line B (rise over run) assuming…

A:

Q: 40. 631 :a tulot mumixeM svital y 1200, 112.5) 180 80 60 40 20 -6-4-3-2-1 (4.123-32) -20 40 -60 80…

A:

Q: Line A is given by the equation: 8x + 7y = -12 Line B is given by the equation: 4x + 3y = -21 What…

A:

Q: Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the…

A: We have given graph of the functions From given graph  When x = 2 g2=5 Similarly, When x=5 f5=4 So,…

Q: onsider the following function. s(t) = 14.1 1+ 2.4e3.3t (a) Identify the logistic function as…

A: The given function is s(t)=14.11+2.4 e3.3t. We have to find the function is increasing or decreasing…

Q: Determine if the columns of the matrix form a linearly independent set. Justify your answer. Select…

A:

Q: Assume there is a certain population of fish in a pond whose growth is described by the logistic…

A: Question - Assume there is a certain population of fish in a pond whose growth is described by the…

Q: Evaluate the expression when x=-6. 2 x + 8x-9

A: C=x2+8x-9when x=-6

Q: Graph this function. Show work. Y=-2|x+1|-1

A:

Q: 8. Use matrix algebra to show that if A is invertible and D satisfies AD = I, then D = A¯¹. -

A: By using matrix algebra to show that if A is invertible and D satisfies  AD=I, then D=A-1.

Q: Express the function F in the form f o g. (Enter your answers as a comma-separated list. Use…

A: GivenF(x)=x+6 We are required to express F in the form f o g where f(x) and g(x) are non identity…

Q: Ryan invested $5,900 in an account paying an interest rate of 5% compounded monthly. Assuming no…

A:

Q: Given a polynomial and one of its factors, find the remaining factors of the polynomial. 13. x3 +…

A: According to Bartleby guideline for multiple questions I can answer the first question only.

Q: Is the relation ship between the values in each table a direct varation, an inverse variation, or…

A: see below the answer and explanation

Q: Find the inverse function of f. f(x): f-1(x) = X+9

A: we need to find the inverse of f(x).

Q: 21 Consider the matrix A = 12 associated with a linear transformation T: Rm → R. 33 Without…

A:

Q: (2x² + 3x-7)+(3x²+x+9)

A: Here we have to add the 2 expressions.

Q: Refer to the figure at the right. Lineais parallel to line b and m/2 is 145 Find each given angle…

A: Given:- Line a is parallel to line b  and m∠2=145°

Q: Fiona's YouTube channel has 29,972 followers and is growing at a rate of 1,625 per week. Emily's…

A:

Q: n 1. Σ' = 3/+1

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: A used car bought in 2019 was worth $8,000. Each year its value depreciates by 4.5%. What is the…

A:

Q: Simple Interest Find the remaining quantities for each of items 1 to 3. Show solutions. Round off…

A:

Q: The cost of a ticket for a matinee at a movie theater is $2 less than the cost of a regular ticket.…

A: topic:-  algebra

Q: Find the inverse f(x): = function of f. 1 X + 4 f-¹(x) =

A: f(x)=1x+4for finding inverse steps are (1)   let y=f(x)

Q: Find '(t), given r(t) r' (t) = = -6 5t -5t+3' 5t² +5' -2t² -6t3 3

A:

Q: Write the slope-intercept equation of the function f whose graph satisfies the given conditions. The…

A:

Q: A= 5 BE 3 6 -8 0 4 12 4 C = -2 5 10 6 9

A: Given A = -1532B = 364-8012C = 410-2659

Q: Given the following two functions, is f(x) - g(x) = g(x)-f(x) true for all functions? f(x)=x²-9,…

A:

Q: Does the table below define y as a function of x? If so, give the domain and range of f. If not,…

A:

Q: How to do the tree method?

A: Tree Method -  Tree method is a factorization method. Write the number to be factorize on the top.…

Q: A garden table and a bench cost $1000 combined. The cost of the garden table is three times the cost…

A: Given, A Garden table and a bench cost is $1000

Q: type in y = 1x + 1 on a graph. Where does this line cross the y-axis?

A: Given query is to find the y intercept.

Q: f(x) = √√3x² - 12x. Use interval notation to indicate the domain of f(x). Note: When entering…

A: The given function fx=3x2-12x7. We have to find its domain.

Q: 33. Suppose A is a 4 x 3 matrix and b is a vector in R4 with the property that Ax = b has a unique…

A: we need to find the reduced echleon form of A