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Limits of composite functions Evaluate each limit and justify your answer.
31.
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Chapter 2 Solutions
Calculus: Early Transcendentals (3rd Edition)
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University Calculus: Early Transcendentals (4th Edition)
Calculus and Its Applications (11th Edition)
- How do you find the domain for the composition of two functions, fg ?arrow_forwardThe domain of piecewise function is (- ∞, ∞). a. Graph function. b. Use your graph to determine the function’s range.arrow_forwardThe graph of a function fis formed by vertically stretching the graph of y= √x by a factor of 2, and shifting it to the left 3 units and down 1 unit. Find an equation for function f and graph it for -5 ≤ x ≤ 5 and -5 ≤ y ≤ 5.arrow_forward
- Evaluate the function below as indicated. Enter the answer as: • an integer (examples: 2 or -3); or • a fraction (examples: 3/4 or 9-/10). If f(x) is undefined for the value of X indicated, type und for your answer. x² if x < -1 15 if X≥ 1 3x f(x)=. f(-4)=0 f(-1) = 10 f(1) = [ f(-2) = [] f(0) = [0] ƒ(5)=Oarrow_forwardExplain why the function is discontinuous at the given number a. (Select all that apply.) x2 - 4x if x + 4 f(x) = x2 - 16 a = 4 if x = 4 O lim f(x) does not exist. х-4 lim f(x) and lim f(x) are finite, but are not equal. x-4+ X-4- O f(4) is undefined. O f(4) is defined and lim f(x) is finite, but they are not equal. O none of the above Sketch the graph of the function. Need Help? Talk to a Tutor Read Itarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
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