What would be the range for the function

Shayla Massey

Shayla Massey

Answered question

2022-03-14

What would be the range for the function
f(x)=log3(5+4xx2)

Answer & Explanation

Ciara Hoffman

Ciara Hoffman

Beginner2022-03-15Added 5 answers

We have that 5+4xx2=(x2)2+9. The range of this function is (,9], since logarithm is defined for positive numbers only, we consider the interval (0,9]. Since logarithm is increasing and continuous function, the range of f is (,2].
Edit:
Again consider the graph of g(x)=log3(x). Look at the graph carefully. Our function g is NOT defined for negative numbers. Furthermore, if x approaches to 0, then log3(x) approaches to .

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