Find the range :
f(x) = log3(5 + 4x-X^2)
f(x) = log3(x^2 - 4x-5)
f(x) = log3 (x^2 - 4x + 5)
f(x) = log3 (4x -5-X^2).
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It must be:
3x2−4x+5>0
let's find the zeroes of the trynomial:
x=2±√4−15 3
Since the expression under square root is negative,
the disequation
3x2−4x+5>0
is verified for all x in
R
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