Question

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Answer 1

The range of the function g(x) is {y : -5 < y <∞}

How to determine the range?

The function is given as:

g(x) = f(x) - 5

The above means that the minimum value of g(x) is 5 less than the minimum value of f(x)

Assume that f(x) = 0;

Then we have:

g(x) = 0 - 5

This gives

g(x) = -5

This means that g(x) cannot be less than -5

Hence, the range of the function g(x) is {y : -5 < y <∞}

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