For f(x)=x+1 and g(x)= 2x +5, find the following functions. a. (fog)(x), b. (g of)(x), c. (fog)(-2), d. (g o )( - 2)

Q: For the functions f(x)=2x−2 and g(x)=6x^2−3, find (g∘f)(x).

A: Explanation of the solution is given below...

Q: For the functions f(x) = 4x* + 4x³ – 8x² – 13x – 5 and g(x) = x+ 1, find (x) and (2).

A: Given that f(x)=4x4+4x3-8x2-13x-5 and g(x)= x+1 find fgxandfg2

Q: For the functions f(x) = 2x - 4 and g(x) = 3x² + 2x, find (gof)(x).

A: The answer as follows:

Q: For the function f(x) = 3* find *+1) f(x-2)

A:

Q: What is (fo g)(11) if f(x) = V – 3 and g(x) = x – 7?

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: For the function f (x) = (*-2)* x+2 , find f-'(x).

A:

Q: For the functions f(x)=2x−3 and g(x)=3x2−2, find (f∘g)(x).

A: f(x)=2x−3 and g(x)=3x2−2To find (f∘g)(x)

Q: Find the domain for the functions 1. f(x) = 8– V3x – 7 -

A:

Q: -4x For the function f(x) = e¯X+4e*, then f(x) = %3D

A:

Q: For the function f(x)=8x2−18x+5, find x when f(x)=−4.

A:

Q: For the functions f(x)=6x−5 and g(x)=6x2−3x, find (f∘g)(x).

A:

Q: For the functions f(x)=3x−4 and g(x)=6x^2+5, find (g∘f)(x).

A: Composite of two functions f(x) and g(x) is defined as:  (gof)(x) = g(f(x))

Q: For the functions f(x)=x+2,  g(x)=2x2-3x-2, find (g o f)(x)

A: Consider the given functions.

Q: 13. For the function f(x) = r² – 3r + 2, find the difference quotient.

A:

Q: For the functions f(x)=−9x−4 and g(x)=−3x+5, find (f⋅g)(x) and (f⋅g)(0)

A:

Q: For the functions f(x)=6x−4 and g(x)=2x^2+5, find (g∘f)(x).

A: Given functions are: fx=6x-4gx=2x2+5

Q: For the function f(x) = x² + 5x – 2, find (a) f(3) (c) -f(x) f(x + h) – f(x) (b) f(-x) (d) f(3x) (e)…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: For the function f(x) = vx – 2, find f'(x).

A: Given,           The function is fx=x-2 .

Q: For the functions f(x)=x2−6x−16 and g(x)=x+2, find (f/g)(x) and (f/g)(−3).

A: Given data:   The first function given is f(x)=x2-6x-16. The second function given is g(x)=x+2.…

Q: For f(x) = 4x and g(x) = x°, find the following.

A: Given f(x)=4x and g(x)=x6

Q: For the function f(x) = 3x-2x-3x +2, find "(X). Then find f"(0) and "(4).

A:

Q: For the function f(x) = x2 + 3? and ℎ ≠ 0, evaluate (f(a + ℎ) − f(a))/h

A: f(x) = x2 + 3

Q: Given that f'(x) = 4x(x² + 8)¬1/3 and f(0) = 0, find the function f(x).

A:

Q: For the function ​f(x)=x2−9​, find ​(​a) ​ f(x+​h), ​(​b) ​ f(x+​h)−​f(x), and ​(​c) f(x+h)−f(x)…

A:

Q: For the functions f(x)=4x+5 and g(x)=6x+4, find (f∘g)(0) and (g∘f)(0)

A: f(x) = 4x+5 i.e. when x is input then f(x) 4 times x plus 5. g(x) = 6x+4 i.e. when x is input then…

Q: For the function h(x) = 2(6x+7), find two functions f(x) and g(x) such that h(x) = f(g(x))

A:

Q: For the function f(x) = 3" find *+1) f(x-2)

A:

Q: Consider the function F(x)= (x+2)^2 for the domain [-2, ∞)

A: Given           Function is :                            F(x)=(x+2)2 for the domain [-2, ∞)   To…

Q: For the function f(x)=x+1/x^2+3 find  (c) f(x2+3)

A:

Q: For f(x)=2x-4 and g(x)=x2-3, How would you find the following functions?  a. (fog)(x) b. (gof)(x) c.…

A: a) Find (fog)(x),

Q: For the function f(x,y) = 5x - 6y - 6, find - of and

A:

Q: 5) For functions f (x) = x² – 15x + 45 and g(x) = x - 9, find |(x)

A: f(x)=x2-15x+45, g(x)=x-9, (fg)(x)=?f(x)=x2-15x+45  g(x)=x-9  Now fgx=f(x)g(x)             [Quotient]

Q: For the two functions f (x, y) = x³ – 3xy² and g(x,y) = 3x²y – y³ %3D Which one of the following…

A: The solution for the above question is as shown below.

Q: For the function f(x) = x^2/2-x, what is f(a+h)?

A:

Q: For the function f(x) = x3/3-x2- 24x + 19. what is the value over which the function is concave…

A: fx=x33-x2-24x+19    Now, first derivative is  dfdx=ddx(x33-x2-24x+19)  dfdx=x2-2x-24    And, second…

Q: For the function f(x) = -4x find ƒ–1(x). 2x-3'

A:

Q: For the function f(x)=|4-3x| find x values so that f(x) =12

A: Explanation of the solution is given below...

Q: Given that f(x) = x² – 8x and g(æ) = x + 6, calculate

A:

Q: For the function: f(x) = 2x + 8, f(æ) – f(a) с — а -

A: Given that f(x) =2x+8 .First we evaluate f(a) then substitute in the given expression.

Q: For the function f(x) = 1 – 1/ (x + 2)2, find the following: f(-x)

A: topic- functions

Q: For the functions f(x)=4x−3 and g(x)=3x2+4x, find (f∘g)(x) and (g∘f)(x)

A: Given that, f(x) = 4x - 3 g(x) = 3x2 + 4x we have to find fog(x) and gof(x).

Q: For the function f(x) = 2, find f'(x). 5/x+2 4 1

A: Given:   f(x)=x+245   To find: f-1(x)

Q: For the functions f(x) = 3x – 1 and g(x) = 6x² + x, find (f • g)(x).

A: Given : fx = 3x-1gx = 6x2+x

Q: For the functions f(x)=2x−3 and g(x)=5x+5, find (f∘g)(x)

A:

Q: For the function f (x, y) = /(x – 1)2 + y2 + 1

A:

Q: For the functions f(x)=2x+1 and g(x)=3x2+4, find (f∘g)(−2) and (g∘f)(−2).

A:

Q: Given the function f(x,y)=x³-5x² + 4xy-y²-16x - 10. Which ONE of the following statements is TRUE?

A: As per as our guideline i am supposed to answer only one question please repost the remaining again…

Q: For f(x)=1-x and g(x)=2x2+x+3, how would you find the following functions?  a. (fog)(x) b. (gof)(x)…

A: Given functions are

Q: For the functions f(x)=4x+5 and g(x)=4x^2−4x, find (g∘f)(x). (gof) (x)=

A: We need to find the composite function when the individual functions are given. while calculating…

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.