SOLUTION: f(x)=√(x-3)(2+5x)
Im not sure how to solve it as well as to finding the domain
Algebra.Com
Question 572619: f(x)=√(x-3)(2+5x)
Im not sure how to solve it as well as to finding the domain
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x)=√(x-3)(2+5x)
Im not sure how to solve it as well as to finding the domain
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1st: You cannot "solve it".
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2nd: Domain:
(x-3)(2+5x) must not be negative:
Solve (x-3)(2+5x) >= 0
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The left side is zero when x = -2/5 or when x = 3
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Draw a number line and plot x = (-2/5) and x = 3
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Test for solution areas on the number line:
(x-3)(2+5x) > 0
If x = -10 ; -*- > 0 ; true, so solution in (-oo,-5/2)
If x = 0 ; -*+ > 0 ; false
If x = 10 ; +*+ > 0 ; true, so solutions in (3,+oo)
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Domain: (-oo,-5/2]U[3,+oo)
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cheers,
Stan H.
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