Let f(x) = 3x², x > 0. Find and give the domain for f-¹(x). ƒ¯¹(x) = where a ✔ ? > Next Question <= >=

Q: If f(x) = 5x² – 2e*, find f '(x).

A: Given that  f(x) = 5x2 - 2ex  We need to find f'(x) and f"(x) . Now , f(x) = 5x2 - 2ex  So,   f'(x)…

Q: Find the domain and range for the function below and its inverse . Also show that the slopes of the…

A: The given function is: f(x)=41+x2

Q: determine the positive and negative intervals of the equation f(x)=x2e17x

A: Note that x2≥0 for all x. And, e17x&gt;0 for all x.   That means f(x)=x2e17x≥0 for all x.

Q: Suppose that the function P (x) represents the profit of a company (in dollars) when x units are…

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Q: 4. f (x) = ex²-2

A: Differentiatefx=ex2−2

Q: Find f-1(x) for the function. х f(x) %3D x + 1 f-1(x) =

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Q: Find f"(x). f(x) = (x? +7) °

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Q: Find f'(x) and f"(x). f'(x) f"(x) f(x) = X +² 9

A: Given query is to find indicated derivative .

Q: y= +1) %3D

A: Given y=x(x2+1)4 Differentiate with respect to…

Q: If f(x) = ax , show that f( - x) = 1 / f(x) .

A: We have to show that: f-x=1fx Where given function is fx=ax. Taking LHS (putting x=-x in fx ), we…

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 be a function. Explain, using any method , as to why f(x) and f(x) + 2 have the same…

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Q: 1. f(x¹ + x³)dx π

A: The objective is to find the integration.

Q: If f(x)= anx", specify the domain of f.

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Q: 2 6 43-2-1 2 345 Note T(z) is a transformation of the semicircle function f(z) V1-2

A: We have the semicircle function: f=1-x2. The plot for the function is: The rotation of this about…

Q: The population of a city in the year 2000 is 250,000 people, and is modeled by the function, f (x) =…

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Q: If f(x) = find f"(x)

A: We first find the first derivative using the quotient rule