SOLUTION: Find domain: f(x)= log(x^2-7x+6) f(x)= ln(log(2x+4)) f(x)= square root of (1-x^2)/x [Square root is only for numerator] Evaluate: log -2(-2 subscript) square root o

Question 239299: Find domain:
f(x)= log(x^2-7x+6)
f(x)= ln(log(2x+4))
f(x)= square root of (1-x^2)/x
[Square root is only for numerator]
Evaluate:
log -2(-2 subscript) square root of 4
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
f(x)= log(x^2-7x+6)
x^2-7x<=6 This is not allowed.
x^2-7x-6<=0
.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=73 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7.77200187265877, -0.772001872658765. Here's your graph:

.
The domain is x(-infinity, (7-sqrt(73))/2) U ((7+sqrt(73))/2, infinity)
.
Ed
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