If g(x) = max {x, 1/x} what is g(x) when x ϵ N2 (.5)?

Q: Where does the graph of the function x* +x - 6 cross the x-axis? O At x = -6 O At x = -3 and x - 2 O…

A: We use condition if any graph cuts or crosses X-axis then y coordinate becomes 0.

Q: What happens to the values of h(x)=(x2 +2x-15)/(x2 -9) as x- > 3?

A: Our objective is to find the limit

Q: How to graph f(x)=x+3 for x<0

A:

Q: Suppose that f(x) = (x - 4)*.

A: At the point of inflection, f''(x)=0.

Q: Define Sx² – 5 if x 1 Calculate f(2).

A:

Q: Find the criticial numbers for f(x) = xlnx

A: Given, The function is f(x) = x lnx

Q: Graph the functions

A: We make table for each potion  G(x)=1/x  x -3 -2 -1 -0.01 y -0.33 -0.5 -1 -100   G(x)=x…

Q: Let g(x) = x-6. Find f(x) so that h(x) = (f o g)(x) h(x) = (x-6)^5

A: Given g(x) = x-6 h(x) = (f ∘ g)(x) h(x) = (x-6)5 We have to find f(x).

Q: 10 16.⁰ FIX Find f(x) dx if = 8 x for x < 8 for x ≥ 8

A:

Q: If Var[x]=0.4, what is Var[2x+1] = ?

A: According to the given information, we have Var[x] = 0.4

Q: 5. Simplify the difference quotient f(a+h)-f(a) for the function f(x)%3D 3x+4 Use %3D h correct…

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Q: 4 Compute f(g(x)) where f(x) =x* -x and g(x) =x²-11. dx The answer is

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Q: Suppose f (x) = 100x2 - 5x thousand units areproduced, where x is the number of years after 2000.a.…

A: Given  f (x) = 100x2 - 5x where x is the number of years after 2000

Q: f(x)=(1.55)^x+9 for x=8.43 Evaluate the following function for the given value of x.

A:

Q: Given y = f(x) = |x - 2| + |1 − 2x|-|1 - x. Write y as a piecewise function by showing your work for…

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Q: If g(x) is the graph of f(x), x^3, shifted right 2 units, write the formula of g(x)

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Q: Let f(x)= x^4 If g(x) is the graph of f(x) shifted right 6 units, write a formula for g(x)

A: We have to write a formula for g(x) when f(x) shifted right 6 units.

Q: What happens to the values of f(x)=(x2-2x-3)/(x2-3x) as x ->0 ?

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Q: Is f (x) = ( ½) x increasing or decreasing?

A: Given: fx=12xIncreasing Function:    If  f'x&gt;0  for every x on some interval I, then fx is…

Q: If f(x) = x²/(4 + x), find f "(4). f "(4) = %3D %3D

A: The given function is f(x)=x24+x

Q: Example 2 (Calculator Active): For 0 ≤ t ≤ 10 days, the rate that a company sells t shirts, in 100's…

A: Given query is to find the rate shirt sold after 5 days .

Q: Given h(r) = 1/r+8, find the following.  h(x^2)+1

A: We have to solve the given questions

Q: Find the intervals where g(x)= -2(4x+1)10 is increasing and where it is decreasing

A: Find first derivative using exponent rule and chain rule.

Q: f(x) = x3 + 3x

A: if first derivative is positive in the that interval f(x) is decreasing

Q: ex - 32 √x +x 22

A:

Q: 04. + 2- 3r-11 (a) Show that -0 can be rearanged as

A: Given that: f(x)=x3+2x2-3x-11