12:27 Done A ohm.lumenlearning.cor aA C Function Composition Given the function f(x) = x – 2 and the function g(x) = 6x² + 8x + 5 determine each of the following. Give your answer as an integer or a simplified fraction. f(g(5)) Evaluate f(g(5)) Preview g(f(2)) Evaluate g(f(2)) Preview (o(:) - 3 Evaluate f( g Preview (<(4) - (()) 3 Evaluate f f Preview

Q: Show that f : [–1, 1] → R, given by          f (x) =    x                                           ...

A: Given:

Q: Write the sentence as an equation. Let the variable x represent the number. Seven less than 6 times ...

A: Write the sentence as an equation. Let the variable x represent the number.Seven less than 6 times a...

Q: A customer pays 50 dollars for a coffee maker after a discount of 20 dollars.What is the original pr...

A: Given that the customer pays 50dollafor a coffee maker after a discount of  dollars.

Q: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old are th...

A: Given: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old...

Q: Find bases for the solution spaces of the following diferential equations. a) y''+2y'+y=0 b) y'''=y'...

A: (a) Consider the given differential equation.

Q: Find the inverse of the following function: f(x) = −2 log 2(x − 1) + 2

A: Plug f(x)=y

Q: Karen is twice as old as Lori. Three years from now, the sum of their ages will be 42. How old is Ka...

A: It is given that the Karen is twice as the old as Lori.Let consider the age of the Lori be x and the...

Q: At a recent motorcycle rally, the number of men exceeded the number of women by 216. If x represent ...

A: Given, the number of men exceeded the number of women by 216 and x represent the number of women.

Q: For the data (-3,9), (-2,6), (0,2), and (1,1) find the line and the parabola that provide the least ...

A:

Q: Solve the equation in the attached image:

A: Given:

Q: 5.Consider the following system of linear equations: 4x +2y = 25 4x – y = -5 If y = 10 in the soluti...

A: Given y=10 is in the solution. We have to plug y=10 in any of the two equations and solve for x.

Q: A train leaves union station for central station, 216 km away at 9am. One hour later a train leaves ...

A: Let the speed of the  train which leaves union station for central station is x km/hour . Let call t...

Q: Show that the relation R defined in the set A of all triangles as R = {(T1, T2) :T1is similar to T2}...

A: Given,relation R defined in the set A of all triangles as R = {(T1, T2) :T1 is similar to T2}.

Q: Ten years ago the ratio between the ages of Mohan and Suman was 3:5. 11 years hence it will be 11:16...

A: Let the present age of Mohan be ‘x’.Let the present age of Suman be ‘y’.

Q: 8000$ is invested in an account that yeilds 6% interest per year. After howmany years will the accou...

A: Let after x years the account will be worth  $13709.60 

Q: Solve the following for the indicated variable. A = ℓw for ℓ  (Area of a rectangle)

A: Given,

Q: The area of a rectangle is x2 + 4x -12. What are the dimensions of the rectangle (length and width)?

A: Given:The area of a rectangle is x2 + 4x -12.It is known that, for a rectangle,

Q: What is the measure fo angle PKO if the measure of angle PKM is 135 degrees?

A: Given,

Q: There are 650 students in a school. If the number of girls is 106 more than the boys, how many boys ...

A: It is given that the total number of students in a school is 650.Let consider the number of boys be ...

Q: Find the factors of (a2+4b2+4b−4ab−2a−8)

A: The given equation is of the form: a2 + 4b2 + 4b - 4ab - 2a – 8 = 0

Q: A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its n...

A: Given:There is an inverse relationship between the popcorn sales and the nacho sales.On a given nigh...

Q: If A and B are symmetric matrices, prove that AB – BA is a skew symmetric matrix.

A: If A and B are symmetric matrices, prove that AB – BA is a skew symmetric matrix.

Q: for the set b={3}, determine n(b)

A: Given,

Q: Solve the following logarithmic equation:  log x + log(x − 1) = log(4x)

A: Simplify logarithmic equation

Q: Two cubes have side lengths that are equal to 2x and 4x. How many times greater than the surface of ...

A: Surface area of cube of side length "a" is given by 6a^2. 

Q: Brown has the same number of brothers as sisters. His sister Sylvia as twice as many brothers as sis...

A: Let x be the total number of brothers and y be the total number of sisters are in the family.Given,B...

Q: Find two consecutive integers whose product is 210.

A: Find two consecutive integers whose product is 210.

Q: Let V be an inner product space, and suppose that x and y are orthogonal elements of V. Prove that |...

A: Given:

Q: Let S = {1, 2, 3}. Determine whether the functions f : S → S defined asbelow have inverses. Find f-1...

A: A function has an inverse iff f is one-one onto.If inverse of f exists then we have

Q: A shark was caught whose tail weighted 200 pounds. The head of the shark weighted as much as its tai...

A: Let H, T and B denote head, tail and body of the shark respectively,

Q: If  x = 3√5 +2    then find  the value of      x3−6x2 +12x−13

A: it is given that,

Q: What is mLSQR? P. S. 2x 3х m ZPQR = 80° %3D MZSQR equation: %3D

A: Given that angle PQR = 80 degree.

Q: Let L be the set of all lines in a plane and R be the relation in L defined asR = {(L1, L2) : L1 is ...

A: The given relation R is defined as follows.

Q: What is a Matrix in algebra? Explain giving example.

A: The definition of matrix:A matrix is a collection of numbers that is arranged into a fixed number of...

Q: The length of a rectangular prism is quadrupled, the width is doubled, and the height is cut in half...

A: Given that, the length of the prism is quadrupled, the width is doubled and the height is cut into h...

Q: Sualuate 101-1 18-1- 18 et =-4 and 4 0oaluede ealh 931-3x +44/

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: There are 80 questions on a college entrance examination. Two points are awarded for each correct an...

A: Given that, there is a total of 80 questions. Let the number of correct answers be c. Then, the numb...

Q: Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary. x...

A: The equation of a line having x-intercept (a,0) and y-intercept (0,b) is given by

Q: Show that the relation R in R defined as R = {(a, b) : a ≤ b}, is reflexive andtransitive but not sy...

A: Given, the relation R in R defined as R = {(a, b) : a ≤ b}.

Q: How do you answer question 4? (Disregard the "do: B, C, E)

A: a) The given function is,

Q: 4x-3&gt;21         or  -3x&gt;-9

A: To determine the solution of the inequality.

Q: A company found that -2p + 1000 models the number of TVs sold per month where p can be set as low as...

A: Given

Q: 5,213,4,53 frue or ealh State ment 1s xDet ermine whether fasse 63 53,2, 5,9n 7,8, 103 = E23 = 6 3,5...

A: We’ll answer the first question with proper instruction since the exact one wasn’t specified. Please...

Q: The sum of the first and last of four consecutive odd integers is 52. What are the four integers?

A: Given:The sum of the first and last of four consecutive odd integers is 52. What are the four intege...

Q: Are f and g both necessarily onto, if gof is onto?

A: Given: f and g are two functions and gof is onto.

Q: When the expression 12x3−13x2 −5x+7 is divided by 3x+2 find  the remainder.

A: Given:When the expression 12x3−13x2 −5x+7 is divided by 3x+2 find  the remainder. 

Q: The equation 5x2+10x+4=0 has two solutions A and B where A&lt;B A= B=

A:

Q: Pat and Chris have the same birthday. Pat is twice as old as Chris was when Pat was as old as Chris ...

A:

Q: I need steps to solving this problem using the order of operations, please.

A: Using PEMDAS rule.We have to work with parentheses first. 9-6=3 and 6+4=10 in the parentheses

Q: Determine the center and radius of each circle and sketch the graph  x^2+(y-2)^2=16

A: