1. If f(x)=1/x, which of the following is the simplified form of the difference quotient? * -h -1 x(x + h) h(x + h) Option 1 Option 2 -1 -1 (x + h) x(x + h) Option 3 Option 4 -x h(x + h) O Option 5

Q: CHECK Your Una 1. Simplify. b) a) (3x² - 7x + 5) + (x²-x + 3) (x² - 6x + 1)-(-x² - 6x + 5) c) (2x² -…

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Q: Use adding/subtracting functions to explain why the function, w(x)=x^4 + 2x^2 - 5x  would only have…

A: Use adding/subtracting functions to explain why the function, w(x)=x4 + 2x2 - 5x would only have one…

Q: Which function is equivalent to g(x) = x² + 15x - 54? A) g(x) = (x+ 9)(x - 6) B) g(x) = (x + 18)(x -…

A: Simply factories the g(x) by explicating the middle term.

Q: (x+7 for x 100 a. Find f(20)=_ b. Find f(220)=. c. Find f(100)=_ d. Find f(-100)=.

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Q: Compute and completely simplify the difference quotient for  f(x) = √x+6   f(x + h) − f(x) h =

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Q: A culture of bacteria in a laboratory is subjected to a substance to decrease the number of bacteria…

A: Set e-t2+5t+3 equal to 100 and then solve for -t2+5t+3. e-t2+5t+3=100ln e-t2+5t+3=ln 100…

Q: 6. clearly. Find and simplify the difference quotient, f(a+h) − f(a), for the function f(x) =…

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Q: Let f(x) = 3x– 5x + 13 and g(x) = 2x- 7. what is g (f (x)) 6x2 – 10x + 19 1222 - 89x + 160 3x2 - 3x…

A: Given:     To determine: g(f(x))

Q: Differentiate the function. f(x) = x6174 + 2x50 – 13x* + 4x – x-6 + n²

A: Derivative of function

Q: finde the difference quotient of f(x)= x2-2x-3 in simplest form

A: Known fact:The difference quotient is computed using the formula is m=( f(x+h) - f(x))/h.

Q: The graph of the function f(x) 4x4 12x3 x + 7x – 3 is shown below. | 30+ 25 20- 15 10- 5 -6 -5-4-3…

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Q: What is the inverse of the function y = 9x2 + 12x +4? What domain restrictions are necessary?…

A: Given y = 9x2+12x+4let inverse of y = f-1(x)

Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: (x)=x^2+2x-8, and 3x-6 Preform the indicated operation. (Simplify as far as possible.) (f

A: We know if f and g are continuous function then we can write (f+g)(x)=f(x)+g(x) Here f(x)=2x+8…

Q: 8- Is it possible for 2x +96= -28x, explain your answer? 9- For what value(s) of k does the function…

A: 8)  2x2+96=-28x Add 28x on both sides: 2x2+96+28x=-28x+28x 2x2+28x+96=0 Now, this is a quadratic…

Q: A student writes the following for the function f(x) = (x-2)/(x^2-8x+8): "The domain of f(x) is…

A: Given: x-2x2-8x+8

Q: The route that a trolley takes around a city can be represented by the functions x² + y² = 5. A…

A: To find out the location means the points where the trolley meet the train.

Q: If f (x) = x² + 5 and g(x) =x- 4, evaluate

A: given  f(x)=x2+5 g(x)=x-4

Q: The park's wolf population in year t is given by the expression W(t)=-4(t-4.5)^2+400. Determine the…

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