Exercises 114-116 will help you prepare for the material covered in the first section of the next chapter. 120x 114. If f(x) : find f(20). 100 – x 4 115. Find the domain of f(x) 2 116. Factor the numerator and the denominator. Then simplify by dividing out the common factor in the numerator and the denominator. x2 - 7x – 18 2x2 + 3x – 2

Q: the radical is over 21-2x f(x)=√21−2x  g(x)=2x^2−14. (g∘f)(x)

A: Consider the functions and solve:

Q: The polynomial + ax 3x+ hx 2 has roots -1 and 2. one of which is a triple root. Find the values of a…

A: There are two possible case, checking one by one both to know which is the possible case as in next…

Q: standard form of f(x) = x2 – 2x – 8

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Q: A projectile is fired from ground level such that its height, h, as a function of time, 1, is given…

A: Given  h=-16t2+80t We have to write this equation in factored form.

Q: 8 Write a polynomial equation for a graph that passes throu (1, 0), and (3, 0).

A: Question no. 8-48,Given,          The polynomial passes through the point -1,60 and has three…

Q: How do you find the domain of the function: f(x)=x2-10x+13 How do you know if there are any real…

A: To determine the domain of given function.

Q: 27. f(x) = 3x + 2. 3x 2x

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Q: ²-5x 6 44. f(x)

A: To sketch the graph of f(x)=x2-5x-6x2.

Q: Find the domain of f(x)= square root of x^2-4x-5

A: Given:

Q: \ 43. f(x) = x² + 2x

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Q: Show that 22x-1 Г(2x) - r(x) r

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Q: 6. f(x)= 42x -107x -67x+180 ; given that 2x-5 is a factor of f(x).

A: The given polynomial is f(x)=42x3-107x2-67x+180, 2x-5 is a factor of f(x)

Q: 2. Express (5)"x5 as a Single power with positive t exponents.lyou must show work.)

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Q: 5. g(x)=x3-2x² + x-1 g'(x)=

A: Derivative of the function gives us the rate at which a particular variable is changing with respect…

Q: 2x 14. f(x)=7+x-20

A: Given query is to find the domain , vertical asymptot and the intercepts of the function.

Q: Determine the roots of the function f(x) = (5²x – 6)² – (5²× – 6) – 12. - -

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Q: (a) Factorize x²-x-12. (b) If f(x)=x²-x-12, find the value of f(2).

A: topic - factorization

Q: 30х3 + 31г? — 25х — 6 - Find the domain of f(x) = 123 59x2 – 11x + 30' -

A: Given :   f(x) = 30x3+31x2-25x-612x3-59x2-11x+30   To find : The domain of f(x).

Q: EXercises X72 IsContinuous at x-22 4. -2X X-2

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Q: If 21+3f(x)+2x^2(f(x))^3=0 and f(-3)=-1 what is f'(-3)?

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Q: 17. 5. If f(x) = 3x² – 7x + 12, find Simplify! h f()=

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Q: f (x) = x2 - 7x + 10/x - 5, x = 5

A: We have the given function as fx=x2-7x+10x-5 On solving further by factorising the numerator part,…

Q: 6. Find the difference quotient for f(x) = 3x2 - 5x.

A: We need to find the difference quotient for f(x) = 3x2 - 5x.

Q: 1 f(x) %3= x2-9

A: Given,           y = -1x2-9

Q: Write the quadratic function in standard form. f(x) = x² + 18x + 78 f(x) = =

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Q: • 61. f(x) = 4 – x², x2

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Q: 11 3 - x° + 5x is divided by x + 1? What is the remainder when f(x) = - 2x4 + x' The remainder is

A: Find the reminder when

Q: Differentiate two ways: first, by using the Quotient Rule; then, by dividing the expressions before…

A: Disclaimer: Since you have posted multiple question, we will answering only 13th. In case you need…

Q: f(x) =7x+36x+ 46x +x-6

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Q: Given f(x) = √ x-4,   (the square root of x-4) Use the conjugate to simplify completely f(x+h) -…

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Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: 2x 5 . f(x) 2x 3

A: Given: - The function is, f(x)=2x-52x-3 To find: - The derivative of the given function To find: -…

Q: 5-2x 13. f (x) = 3+2x

A: Given: f(x)=5-2x3+2xwe know that defination of derivative is…

Q: show that flzi2)= f (2)f(2).

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Q: Find the upper 1 % point of F2,5.

A: The degrees of freedom for numerator is 2 and the degrees of freedom for denominator is 5. Software…

Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

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Q: When the function f (x) is divided by x + 4, the quotient is 2x2 – 5x – 7 and the remainder is 4.…

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Q: 5 2) Differentiate h(x) х3—4x2+2 Show all steps. Give answer with positive exponents.

A: h(x)=5x3-4x2+2 We need to differentiate h(x).

Q: 8) f(x) = x° + 12x² + 47x + 60

A: fx=x3+12x2+47x+60

Q: Let f(x)=x²-4x²+3x and g(x)=4x+3 then find the product. Discuss the steps

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Q: solve

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Q: If fx) = |3x| – 10 and g(x) = 2x³, what is (g ° f(-2)? %3D

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Q: Suppose​ f(x) is a quadratic function such that its vertex lies on the​ x-axis. How many distinct…

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Q: 2x2+9x 5. f(x) = ²+9x 12x*-3 f'(x) =

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Q: 11. F = (3x2 - 3x)i + 3zj + k

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Q: Write the rule of the cubic polynomial with roots 5, -2, and 0 that passes through the point (3,–7).

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Q: Study the sign of f(x) = -x + 6x – 9. %3D

A: Given: - The function is, f(x)=-x2+6x-9 To study: - The sign of given function f(x).

Q: 26. f(x) = 3x + 2x – 10

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Q: Find the difference quotient of  f(x)=square root of x-3

A: The given function is fx=x-3.

Q: 1. Construct and simplify the difference quotient for f(x) = 4x² – 3x – 7. -

A: