For Exercise, simplify the expression. Do not rationalize the denominato 2rV2r – 3 + x² :(2) /2х — 3

Q: 2. If f(x) = (x + 13)2 +(x - 5)° + (x +5) , find f(3). If necessary, use the Math Editor X to write…

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Q: Evaluate x - 2r + 2 for x = 1 + i.

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Q: Simplify the expression, and rationalize the denominator when appropriate.

A: Consider the given expression  1-x1+x

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

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Q: The rational expression (x3 + 2x2 − 7x + 4) / (x2 − 4x − 12) is improper.Determine whether the…

A: A rational fraction in which degree of numerator is greater than or equal to degree of the…

Q: Reduce the following rational expression to Its lowest terms. y y2 – 5y

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Q: х? — х — 12 f (x) = x2 — 2х — 8

A: Given query is to find domain and range of the function.

Q: da Use a trig substitution to evaluate x2 V9- x

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Q: Simplify the expression, and rationalize the denominator when appropriate.

A: we have to simplify the expression ,  4x2y3 2x5y23

Q: 4. Find the difference quotient and simplify your answer f(x) = x2 + 5, 2

A: To calculate the difference quotient at x=4

Q: 4. If f(x) = x2 – 7x, find the difference quotient and simplify.

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Q: Given y = 3x + 7, what is f(-2)

A: The given function is y=3x+7 it can be written as f(x)=3x+7 to find the value of f(-2) substitute…

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: Calculate Rs for f(x) = 4x² + 7x over [-1,1]. (Give an exact answer. Use symbolic notation and…

A: The given function is fx=4x2+7x    over -1,1. ∆x=1--15=25=0.4. Note that…

Q: For x > 0, which expression is equivalent to A. x2 В. х3 С. хб D. x10

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Q: write the rational expression in lowest term. y2+7y+10/y2+11y+18

A: The given expression is

Q: x 4 dæ 4x

A: To evaluate the integral:∫x13-x144x12dx

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: Multiply the algebraic expressions using the FOIL method, and simplify. (4x - 5y)(3x - y)

A: There is also a special method, useful only for a two-term polynomial…

Q: Calculate R5 for f(x) 2x2 + 8x over [–1, 1]. (Give an exact answer. Use symbolic notation and…

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

Q: 2-f) -さじinxtcasy) shou that Xメ 7.

A: #Given; z=e^-t(sinx+cosy)  then we have to show Zxx+Zyy=Zt

Q: Calculate R5 for f(x) = 4x² + 8x over [–1, 1]. (Give an exact answer. Use symbolic notation and…

A: Given

Q: For f(x) = -5x- 2, evaluate (5). %3D -27 O b -15 23 -32

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Q: Simplify the following rational expression, and state the restrictions. 245x-50 x²-8x+12 a) 3x+30…

A: Given data:- a) x2+5x-503x+30÷x2-8x+126x-12 b) x+4x2-9-2x-7x2-5x+6

Q: Evaluate the difference quotient and simplify the result. h(x) = x +x + 4 h(x + Ax) - h(x) Ax Ax +0

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Q: determine the point of inflection anf concavity for y=x1/2(x+3)

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Q: Use the quotient rule to simplify the expression.

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Q: Write an expression for w in terms of x. Simplify your answe y34 W -2 2

A: Given problem:-

Q: Evaluate: (x2 + 19) /(2 - x),  for x = 3i.

A: Given: fx=x2+192-x; x=3i for finding value of given function at x=3i, we put x=3i in given…

Q: Use f(x) = 4x - 3 and g(x) = 2x² to evaluate the expression. (a) (fog)(-2) (b) X (gof)(-2)

A: This question can be solved using the concept of composition of function.

Q: F(x)=3x-4 and g(x) =5-x^2 to evaluate the expression  a) (fog) (-2) b) (gof) (-2)

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Q: 8. Use the functionf (x 3x2 – 4x and find the simplified difference f(x+h)-f(x) h quotient using the…

A: Given: f (x) = 3x2 – 4x.

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: Write the rational expression in simplest form. 15y + 10y2 8y + 12

A: We have to write the following rational expression in the simplest form - 15y + 10y28y + 2

Q: Simplify the difference quotient G+h)-{Cx) for f(x) = 2x – x². %3D

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Q: Write the rational expression in simplest form. 15y2 10y4

A: We Know that A rational expression is considered simplified if the numerator and denominator have no…

Q: 3x 2r is equal to O True O False

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Q: Let frx) = (x²+2x), and g(4)=(1++) find gof and f.g.

A: Given, fx=x2+2x and gx=1+1x.   The objective is to find g∘f and f∘g.   g∘f is found as follows:…

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

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Q: Reduce the  rational expression to lowest terms (  x2 + 5x  - 14 ) / ( 2 - x )

A: x2+5x-142-x

Q: Use fCX)=3X-5and gCX)=u-x² to evaluate the expression. (a) F(f(2)) (6) 9(9(3))

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Q: Use f(x) = 7x - 8 and g(x) = 7 - x2 to evaluate the expression. %3D (a) Rg(0)) (b) g((0))

A: use composition of function for finding a and b

Q: Compute and simplify the difference quotient , h ≠  0. f(x) = 5x 2 + 7x

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Q: Evaluate (-4) when f(x) = 2x – 3 and g(x) = 4x2 + 14x + 5. 4 O A. 2 В. 13 11 OC. 13 4 D. 13

A: Given Data: Function 1: f(x)=2x-3 Function 2: g(x)=4x2+14x+5 For x=-4, Substitute -4 for x in the…

Q: write the rational expression in lowest term. xy-2x+5y-10/xy+3x+5y+15

A: Given rational expression is,

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: ydy can best be evaluated by algebraic substitution. Vy-1 A True В False B

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Q: IfÂf(x) = Â(10x³ + 7x2 + 1) = 60x + 14 , find an %D expression for Â.

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Q: For f(x) = 3 – 2x² , evaluate ƒ(2). - O 5 -5 O -3 O -1

A: Proceed as shown below