O GRAPHS AND FUNCTIONS Composition of two functions: Basic Suppose that the functions q and r are defined as follows q (x)=5x+4 (x)-5x+3 r Find the following (a )(2)= ? X (q)(2)

Q: f(x) = Find all values of x for which the graph of f lies above the graph of g. (Enter your answer…

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Q: The function f(x)=-.01(x-34) +24 models the population (in thousands) of Plumas County, 3.…

A: Consider the given population function.

Q: Domains Find the domain of the following functions.

A: we need to find the domain of 12y2-x2f(x,y) = 12y2-x2Domain is set of all those value(s) of the…

Q: EVALUATING FUNCTIONS Evaluate the function f(x) given value of x. for the 1 + 3e

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Q: Composition of Functions and Modeling Instruction Active Decomposing Composite Functions Try It The…

A: Given h(x)=gof(x)= 2(x+3)/x g(f(x))=2(x+3)/x       .........(1) Given g(x)= 2/x     Then…

Q: 2) Find the value of composition of functions. Given f(x )=-x-7 and g(x)=x + 6 Find f(g(-14)) f (g…

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A: The functions q and r are defined asq(x) = x2 + 5 r(x) = (x +7)1/2­To find (r ᵒ q)(2) and (q ᵒ r)(2)

Q: graph of f 4. The graph of y = f(x) is shown above. Which statement correctly describes the interval…

A: When we draw a graph in single stroke of pen or pencil then graph is continuous  Graph non…

Q: Domains Find the domain of the following functions.

A: Given function is f(x, y)=25-x2-y2     To find: Domain of f(x, y)

Q: The graph of a function f is given. Use the graph to estimate the following. y 2. (a) All the local…

A: For both the parts I'm assuming the function is continuous over all real numbers. (a) According to…

Q: (a) Graph the functions ƒ(x) = x/2 and g(x) = 1 + (4/x) together to identify the values of x for…

A: To identify the values of x for which x /2 >1+(4/x).Part a) Graphically using the functions f(x)…

Q: x³-2 is x*+81 The domain of the function f(x)%3D Select one: (-0,-3)U(-3,3)U (3, 0) (-00,-3)U(-3,0)…

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Q: Function g is related to the parent function. Identify the parent function f. g(x) = - |x+3| + 6 %3D

A: The given function is: g(x)=-x+3+6

Q: Library of functions solve  If f(x)= {2x-4.   If -1 less than equal to x less than equal to 2 If…

A: Given,

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A: The given function f is defined as,

Q: 3.) The function g is related to one of the parent functions g(x) = -(x - 2)^3 a.) Identify the…

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: x -1 ifx < 2 if2 < x < 3 f(x) = { 3 - x 2x - 5 ifx 2 3 The graph of y = f(x) looks like this 1 3 Use…

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Q: Considering the two functions below, which is the most accurate comparison? Function #1 f(x)…

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Q: 1 Let f(x) = /6x -1 and g(x) = -. Find (f+ g)(x), (f- g)(x), (fg)(x), and (x). Give the domain of…

A: We are solving the first three subparts and for the next subparts post the question again and also…

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A: f(x)=1/x, g(x)=1/x^3

Q: gives a formula for a function y = ƒ(x) and shows the graphs of ƒ and f -1. Find a formula for f -1…

A: Given function: y=fx=x2,     x≤0

Q: The function f(x) = x2 - 2x – 5 has domain {-1, 0, , 2x }. Find the range of f (x)

A: To find the range of the given function.

Q: EVALUATING FUNCTIONS Evaluate the function f(x) given value of x. for the 1 + 3e

A: To Determine: Evaluate the function:                                    Find the f(-1)

Q: g(x) = – 8 , h(x) = x² – 3x Vr - 8 , h(x) = x² – 3x – 10, k(x) %3D %3D 1. х — 4 a) Find the range of…

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Q: gives a formula for a function y = ƒ(x) and shows the graphs of ƒ and f -1. Find a formula for f -1…

A: The given function y - y = f(x) = x2-2x+1y = x2-2x+1Procedure to find the f-1(x) - 1. Solve for x in…

Q: Function 1 Function 2 i function 1 is f (x), what does that make function 2? Of (-4) Of (x +4) Of…

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Q: omposition. Suppose we want to find the composition of a function with itself. Let g(x) = -4(x+3)2…

A: Given, g(x)=-4(x+3)2

Q: Function f(x) =3^x is vertically stretched by factor of 4

A: If a function y = f(x) is vertically stretch by a factor m then the equation of the transformed…

Q: Hello I need help solving these questions.

A: Given:- h(x)=f(g(x)) h(x)=|x-5|+8 h(x)=7+(4x-1)3 h(x)=4/(x-2)3 h(x)=3-√(2x+6)

Q: O GRAPHS AND FUNCTIONS Combining functions: Advanced Suppose that the functions fand g are defined…

A: Given,             Suppose that the functions f and g are defined as follows :              fx=5x+4…

Q: 100. Crimes Suppose that V(x) represents the number of violent crimes committed in year x and P(x)…

A: GivenV(x) represents number of violent crimes committed in year  x and P(x) represents the number of…

Q: 2. The function f and g are given by f(x) = In x and g(x) = e* +2 a) State the domain and range of f…

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Q: f(x) Let h(x) = g(x) where f(x) = 2x² – 4x, g(-2) = 4, and g'(-2) = –5 what is h' (–2)? Do not…

A: Given, h(x) = f(x)g(x) where f(x) = 2x2 - 4xg(-2) = 4andg'(-2) = -5 then h'(-2) = ?

Q: Using the intermediate value theorem the function f(x) =x +4x²-10 has at least one solution over:…

A: Using the intermediate value theorem, it can be written that if f(x) is continuous in the interval,…

Q: Evaluating Functions Use the function g(x) = - 9x 1 to answer the following questions - Evaluate…

A: Substitute x=1 in gx=-9x-1 and calculate the value of g1. gx=-9x-1g1=-91-1       =-9-1       =-10…

Q: f(x)- f(a) Simplify the difference quotient for the given function. X-a f(x) = 4 - 4x-x2 f(x)- f(a)…

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Q: 5-6 - Table of Values Complete the table of values for the given function. 5. g(x) = x – 4x 6. h(x)…

A: Part (a) Given function is gx=x2-4x

Q: 9. f(x) = { *+3 x < -1 -1<x< 2 %3D a. Graph the above piece-wise function. b. Is the function…

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Q: Determine the point(s) of intersection of the functions  f(x)=4x2-x+5 and g(x)=+41x-91…

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Q: 3.) The function g is related to one of the parent functions g(x) = -(x - 2)^3 a.) Identify the…

A: Given         g(x) = -(x-2)3  (a) the parent function f is       f(x) = x3

Q: See attached

A: The given functions, u and w are,

Q: graph of f (in blue) is translated a whole number of units horizontally and vertically to obtain the…

A: Given query is to find the equation of the transformed graph.

Q: Question Find the value(s) of k that makes the given function continuous. f(x) = { √kæ if 0 < x < 3…

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Q: PHS AND FUNCTIONS Combining functions: Advanced Suppose that the functions f and g are defined as…

A: We have given the functions f(x) = 4x + 3 g(x) = √(2x+1)

Q: x²-2 1. [prob2] For the function y = calculate the value of y for the following values of x+4 x: -3,…

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Functions 1. Consider the piecewise function f(x) defined by 6 – 2x if r 4 x² – 16 For which a E R…

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Q: x * - 2 and g (x) = 10. Given f (x) = x - 1X = 1. Find 2x + 1 a) the domain of f (x) and the range…

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.