In Exercises 77-80, find (3) (x) and the domain of g. Express each quotient function in simplified form. 77. f(x) = V48x, g(x) = V3x² 78. f(x) = Vx² – 25, g(x) = Vx + 5 %3D 79. f(x) = V32r°, g(x) = V2r² %3D 80. f(x) = V2r°, g(x) = V16x

Q: Write the equation of the function g(x) if g(x)=f(x+2) +4 and f(x) = x^3-7

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Q: 3x-5 Use the quotient rule to differentiate the function f(x) = 4x+3 f(z) =

A: Given query is to find the derivative.

Q: Find the product. See Examples 4-5. (3x – 4)(x + 6) O 3x2 – 6x + 24 Ox2 + 6x 24 O 6x2 + 24x – 6 O…

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Q: The annual number of cars and trucks sold by a dealership can be modeled by the functions given…

A: Given: x is the year from 2000 Cars sold: c(x)=1.118x3-22.1492x2+95.2693x+1210.7673 Trucks sold:…

Q: The function f (x) = x4 +x2 +x is an evenfunction. Justify your answer.

A: fx=x4+x2+x A function fx is said to be an even function if f-x=fx.

Q: X-1 44

A: x-1x2-4x-5

Q: Let f(x) = V2 - x+ 8. Determine f-(x) and the the domain of f(z). f(x) = %3D Domain of f-(æ) =

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Q: Suppose that f () = 8200 and f (8) = 2600. (a) Write the linear function f, and (b) find the value…

A: Given  f12=8200f8=2600

Q: Use the functions f(x) = 2x^2+1 and g(x) = 3x+5 to evaluate the composite function. f(g(2))

A: g(x) = 3x + 5 So, g(2) = 3×2 + 5 = 11

Q: Graph of the function f(x) = x+a/ x^2 + bx +4 is shown below. What are a and b?

A: Answer

Q: Which transformation is used to obtain the graph of f(x)= -2X from grape of f(x) = 22?

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Q: Suppose the domain of f(x) = [-2, 3] and the domain of g(x) = [-3, 2]. %3D %3D Find the domain of…

A: Solution: Given, Domain of f(x) = [-2,3]  and domain of g(x) = [-3,2]

Q: Write a function to model the scenario [y=a (x-h)2 + k]

A: We will find out the required function.

Q: Given the function h, find functions f and g such that h(x) = (go f)(x). h(x) = (6+ 4x)" a. f(x) =…

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Q: use the letters in the equation f(x)=(x-a)^2+b, to describe how the graph is shift from the graph of…

A: The graph of fx=x-a2+b can be obtained from the graph of fx=x2  as follows: First shift  fx=x2…

Q: Create a table for the function g(x)=(3)/(4)f(x)

A: Given that g(x)=34f(x) Here we need to create the function table.   For that, We need to take values…

Q: Evaluate f(x) = 8-X at x = 2. f(2) =

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Q: find all zeros. f (x) = x^3 + 9x^2 + 25x + 25

A: We can find the Zeros of the given function. Note that if ax2+bx+c=0 then x=-b±b2-4ac2a.

Q: Which fraction is marked by the point on the number line? 1 A B

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Q: Consider f(x) = 8x +3, g(x) = x³. fog= 2x^3+3 %3D go f = (2x+3)^3 f(x) = Vx² + 5, g(x) = x² + 6.…

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