You are given two functions, f and g if - 21-

Q: evaluate the function. [3x – 1, if x 1 [3x – 1, if x 1 f(0) f(1) f(5) f(-4) g(0) 8(-3) g(1) g(3)…

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Q: f(x) 2x²1 x>-1 -x³ x < -1 Is this function continuous at x= -1

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Q: 2 5 Let f (x) and g(x) = x+2° X-3

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Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

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Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

A: Given that the rule of function f is "add one" and rule of function g is "multiply by 8".

Q: (5) State the value(s) of x where the functions are discontinuous (x = a) AND the type qf…

A: Given that, fx=1               if x&lt;2x+3         if 2≤x≤47              if x&gt;4

Q: f(x) = 1- (x - 1), xs2 lx-2, x > 2 y y 10 10 5 -10 -5 10 - 10 -5 10 -5 -5 - 10 -10 y y 10 10 5 - 10…

A: Topic - functions and their graph

Q: b) Find the Constants "a" and "b" such that the following function is continuous for all real…

A: We have to properties of continuity first.

Q: 5+x if x > 1 if – 2<x< 1 if x < -2 (A) ƒ(x) = {2 1– x2

A: According to the given function, fx=5+x, if x≥1 Thus, for x≥1, the graph of the function is a part…