Find (f+ g)(x), (f-g)(x), (f • g)(x), and (x) for each f(x) and g(x). State the domain of each new function. (Example 1) 1. f(x) = x² + 4 8(x) = VI 2. f(x) = 8 – x3 g(x) = x – 3

Q: x + 8 If f(x) = 7x – 8 and g(x) 7 (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an function of…

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Q: Use f(x) = 5x – 3 and g(x) = 4 – x2 to evaluate the expression. (a) (fo n(-1) (b) (g o g)(-1)

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Q: Which function is best represented by this graph?

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Q: Given g (x) = - 3 ( x - 4 )2 - 1, what is the parent function, f ( x ), of g ( x )?

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Q: Find f(3) for the given function. f(x)=(x-2)(x-4)(x+5)

A: Explanation of the answer is as follows

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: Given the following two functions, is f(x) - g(x) = g(x)-f(x) true for all functions? f(x)=x²-9,…

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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".

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.