The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 4 √x - 4 f(x) lim x → 1 C = 2 X-1 XX

Q: Let f(x) be a piecewise function defined by - 6x+ a if x - 3 What should be the values of a and b…

A: Continuity

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: If f(x) = lim f(x) = X-4 -7 for x = 4, {2} 2x+7 for x #4 then

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Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

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

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Q: Let f (x) = x / x - 1 and graph the function f (f (x)) in the window [ -15, 15] by [ -10, 10]. Trace…

A: Consider the provided function, fx=xx-1 Find the formula of ffx. We can write as, ffx=f∘fx. So,…

Q: X-2 f(x)3D x2+x-30

A: In the given question a function is given and we have to find point of discontinuity of the…

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: 1olvsrled bne 7. Find the difference quotient f(x+h}-f(x) for the function f(x) = x2 - 1. h

A: For the solution follow the next step.

Q: x²+x-2 1. lim X-o 4x-1

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Q: Find Lim f(x) = 2√x

A: Given function: fx=2x

Q: for which value of 'a' the function 5x3 – 625, x5

A: As  we know that; If the function is continuous at x=a then;…

Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

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Q: Let f(x) be the function x + 5 for x 2.

A: Let f(x)=x+5 for x<-1               =cx for -1≤x≤2                =x+6 for x>2 To find the…

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

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Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

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Q: Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h…

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Q: d. lim f(x) %D X-3-

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Q: 3X-6 13. A function f is defined by f(x) = x²+ x-6 a. for what values of x is f(x) not continuous b.…

A: The given function is f(x)=3x-6x2+x-6