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For the given functions f and g, find the following. For parts ( a )-( d ), also find the domain. (…

(33)

In exercises 1 and 9, use the given functions f and g to find (f ∘ g)(x) and (g ∘ f)(x). f(r) =…

(33)

Find the difference quotient of f; that is, find f(x+h)-f(x)/h, h ≠0, for each function…

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point) Consider the function y == f(z) graphed below: Give the -coordinate of a point where: A. the…

(33)

Assuming f is differentiable; find f' and f”(x) dx = rf(c) [3r^2 f (r) dr + 2f”(x) = √3r^2 f (r…

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Given the following functions f and g: find f(9(3)) - f(z) = 1 5 € (z) 22 +

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Let f and g be two functions from a topological space X to a topological space Y, If the set D=x: …

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Let f be a twice-differentiable function. Values of f, the derivative of f, at selected values of x…

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For the following exercises, evaluate the expressions, given functions f, g, and h : ·f(x)=3 x…

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The graph of a function f is given_ Consider the integral I when answering the following questions.…

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Let h be a differentiable function, and let f be the function defined by f(x) = h(x^2 - 3). Which o…

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F(x)={[ 3 x^2-3/x-1, when x ≠1; k, when … ]

(33)

Given the following pairs of functions, explain how the graph of g(x) can be obtained from the grap…

(33)

Let S={-1,0,2,4,7} . Find f(S) if [ a) f(x)=1 . b) f(x)=2… ]

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Give an example of a noninvertible function f from ℝ to ℝ with im (f)=ℝ.

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If f(x)={[ 2 x+4 if -3 ≤x ≤1; x^3-1 if 1x … ]

(33)