Use f(x) = 3x – 2 and g(x) = 5 - x to evaluate the expression. (a) (fo g)(x) 1 (b) (g o f)(x) -59

Q: Use f(x) = 3x - 2 and g(x) = 5 - x2 to evaluate the expression. (a) (fo A(-1) (b) (g o g)(-1)

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Q: f(x) = x² + 3x - f(6) = [?] Be sure to simplify your answer.

A: The given function is fx=x2+3x-x2.

Q: Try It Determine all values of x that mah x+5 %3D true. Show your x-4 provided.

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Q: f(x)-3-x2 ,g(x) 3. x +1 Find (fog)(x) Simplified Expression:

A: Let f and g are two functions. Then, the composition of function f with function g is denoted as fog…

Q: Find f(-2). f(x)=3x2 - 8x + 7 A) B) 21 35 D) 38 3,

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Q: f(x) = x² -7x +1? ミ×2 メ-3

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Q: Use f(x) = 3x – 4 and g(x) = 5 – x2 to evaluate the expression. - (a) (f o g)(-2) (b) (g o )(-2)

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Q: Use the equation (x-6)(x+7)/(x+3)(x+4)(x+7) for the following a) what does f(x) approach as x moves…

A: The Given equation is: f(x) = (x-6)(x+7)(x+3)(x+4)(x+7)

Q: Simplify the expression 5x3 – 7x2 – 6x 2x2 – 10x + 12 and give your answer in the for f(r)

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Q: f(x)= 2x^2 - 6, find f^-1(f(f^-1(12)))

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Q: I+3 f(x) = x2-3x-10

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Q: Use f(x) = 5x – 3 and g(x) = 4 – x2 to evaluate the expression. (a) (fo n(-1) (b) (g o g)(-1)

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Q: If f (x) 3x + 2 and g(x) = x – 5, then what does -12 ) equal?

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Q: Let f(x) = cx2.83. By what factor must x be increased in order to quadruple the value of f?

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Q: Use f(x) 5x - 2 and g(x) = 4 - x2 to evaluate the expression (a) (fo g)-2) X (b) (gon-2)

A: (a) The value of (fog)(-2) is evaluated as,

Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: 13. f(x) = (x³ - Зx)(2x? + Зх + 5)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: -2 Find the value of f d(x3).

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Q: Use f(x) = 4x – 5 and g(x) = 2 - x² to evaluate the expression. (a) (fo g)(-2) (b) (go n(-2)

A: To find the given values

Q: 2. у -х3 -Зx? - 2 atx3D1 at x = 1

A: To find the value of this function at x=1

Q: Solve f(x) is greater than or equal to x2+6x-7 over x2 -10x + 25    Write answer in interval…

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Q: Let f(x) = cx2.43. By what factor must x be increased in order to quadruple the value of f?

A: Increased factor problem....

Q: Solve the equation x2 - 5x2 + 2x + 8 = 0 given that -1 is a zero of f(x) = x3 - 5x2 + 2x + 8.

A: Given function f(x) - f(x) = x3-5x2+2x+8Given that x = -1 is the solution of the function f(x),Then…

Q: f(x) = 7 - 7x, Find f + g. g(x) = -3x + 7 O 4x O -4x + 14 -3x + 7

A: The given functions are: fx=7-7x and g(x)=-3x+7

Q: Find the domain

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Q: Solve the equation x- 5x +2x + 8 = 0 given that 1 is a zero of f(x) = x° - 5x+2x + 8. 5x +2x +8.

A: Solution :-Given that -1 is a zero of f(x) = x3 - 5x2 + 2x + 8So, (x+1) must be factor of f(x)f(x) =…

Q: F(x)=2x+9 If f(x)=19, what is x?

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Q: 101. If f(x) = 2x° + Ax? + 4x – 5 and f(2) = 5, what is the value of A ? -

A: Given f(x) = 2x3+Ax2+4x-5  and f(2) =5Here we find the value of A

Q: -2 t t² + 5

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Q: Use f(x) = x²-x, g(x) = 9– 2x, and h(x) = x² + 2r-63 Find (g f)(x)

A: Given: f(x)=x2-xg(x)=9-2xh(x)=x2+2x-63 The objective is to find leading coefficient of the function…

Q: 82. If f(x) = (1 + x')30, what is f (58 (0)?

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Q: What is f'(0)? f(x) = (7x4) (3x+8)4

A: To find the derivative of given function at x=0

Q: f(x) : 4х + 8 f (x) = 36, What is x?

A: Given f(x) = 4x + 8 and f(x) = 36 So, 4x + 8 = 36 Now add both sides with (-8), 4x + 8 + (-8)= 36 +…

Q: Use f(x) = 4x – 2 and g(x) = 5 – x² to evaluate the expression. (a) (fo g)(-2) (b) (g o n(-2)

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Q: 3) For the function f(x) = -2x+5, find and simplify the expression for f(3x) – 3f(x).

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Q: lf f(x) = 1-3x and g(x) =x² + 1, find the following. 15. f (-2) = 2 16. g (2) =2 17. g (3) - f2) =…

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Q: Use f(x) = 4x - 5 and g(x) = 3 – x2 to evaluate the expression. (a) (fo g)(-2) (b) (g o )(-2)

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Q: f'(x) = 3x2 - 1 and f (2) = -5. What is the value of f(3)?

A: Given :  f'(x) = 3x² - 1 and f(2)=-5 To find :  f(3)? Solution :  We know that integration and…

Q: f(x) = 2x2 - 8 Even, Odd, or Neither What is the algebraic reason for you answer?

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Q: f(x) = 7-

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: f(x) = 5/x2 + 9 at a = 4

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Q: Use f(x) = 4x - 2 and g(x) = 3 -x to evaluate the expression. (a) (fo g)(-2) (b) (g o A(-2)

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Q: f(x)= 4/x2+8x+7 and g(x)= 7/x2+x simplify (f-g)(x)= ?

A: f(x)= 4/x2+8x+7 and g(x)= 7/x2+x simplify (f-g)(x)= ?

Q: Q3. Find the simplify the expression if f(x) = x² - 4 a) F(4) b) F(x + 1) c) F(√x)

A: We have to solve above function

Q: Use f(x) = 5x - 2 and g(x) = 4 - x2 to evaluate the expression. (a) (fo g)(-2) (b) (go )(-2)

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Q: Find f-1 (x) for f (x) = 15 + 12x. Enter the exact answer.

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Q: Use f(x) = 2x - 5 and g(x) = 4 - x² to evaluate the expression. (a) (fo )(-1) 36 (b) (go g)(-1)

A: We know, (f∘g)(x)=f{g(x)}

Q: f(x)=9x1/5-6x6/7 How do you find the f'(5)= ?

A: Consider the given function.fx=9x15-6x67

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.