Question 3: Find the natural domain and determine the range of each the following functions: (a) f(x)== (b) g(x)=√x²-3 (c) h(x) = linh

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A: Given query is to find the domain of the function.

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Q: Find the domain and range oT . f(x) = 1 i) f(x) = ii) x-1 1+vx

A: Given: fx=xx-1fx=11+x

Q: Where does the original function f(x) increases and decreased

A: f'(x) = +ve→f(x) will be increasing in this range.f'(x) = -ve→f(x) will be decreasing in this…

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A:

Q: 3. For the following functions, sketch the general shape of each: a. f(x) = -x - 3x + 2x+ 1 b. g(x)…

A: We have to sketch the general shape of functions (A)  f(x) = -x4 - 3x3 + 2x + 1 x 0 1 -1 f(x)…