Show that f(x)=2x+1 is continuous at x-5. Write ó-e proof.

Q: h(띠)= Jo 2+t+2 h(피) t2 +t+2 2)

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Q: snip

A: If f(x)=ax, Then to show that, f(αx)=f(x)α

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Q: Show that the function f(x)= √6x-x² is continuous on the closed interval [0, 6].

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Q: Find constants a and b such that the function 3– bx, if x>-2 f(x)=- -1, if x=-2 ax – bx, if x<-2 |…

A: Given query is to find the value of a and b.

Q: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

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Q: Find the value(s) of a and b for which f is continuous at -2: 3x³ - 7x² + 7 if x -2 f(x)

A: To find the values of a and b for which f is continuous at -2.fx=3x3-7x2+7 if x&lt;-2a+b if…

Q: If a function f(x) is not defined at x-c, then it is not continuous at a close interval [a, c). * O…

A: We know that function is continuous at c if the 1) f(c) is defined 2)limit of f(x) exist, Here…

Q: Let f(x) f-1( – 8) = Preview

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Q: How many continuous functions f are there which satisfy (f(x))² = x² for all x?

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Q: Determine f,(x); f(x) = x2*, x > o

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Q: Decide if f(x) is uniformly continuous on the interval. Explain

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Q: [√81 - x² dx. (a) If the integral above computes the area under the graph of some function, f(x),…

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Q: Please show all work:  Is f(x)= x2+3 continuous at x=1? Why or why not? (A rigorous mathematical…

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