Hi skeeterrr
I'm not sure how to approach it but I think drawing the graph will be helpful
The question states:
Suppose g is a function defined for all x > 0 which satisfies the following properties for all a, b > 0:
g(1) = 0
g(a/b) = g(a) - g(b)
Determine whether the function f(x) = g(x+ root(x^2+1)) is even, odd or neither, and justify your answer.
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Well I was thinking that g could be a logarithmic function, and x+ root(x^2+1) is neither even nor odd, so f(x) is a neither function...
I think I'm approaching this the wrong way... Can anyone help me out please?