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