Algebra.Com's Answer #91818 by MathLover1(20849)![\"\"](\"/images/stars/stars-13.gif\")  
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1) State the domain of the following:\r
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document.write( "a) \r
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document.write( "you know that  has to be positive
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document.write( "Therefore if  the result would be a   inside the radical which is   . \r
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document.write( "so, the domain would be  to  (0 is allowed)
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document.write( "Interval notation [,  ) \r
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document.write( "b) \r
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document.write( "denominator cannot be equal to  ; so, if  we will have to divide by which doesn't make a sense.
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document.write( "if ...then  \r
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document.write( "the domain would be  to  and from to \r
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document.write( "Interval notation (, ] U ( , ] \r
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document.write( "c) h(x)=3x^2+5x-3 \r
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document.write( "Answer:\r
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document.write( " first find square roots
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document.write( " | Solved by pluggable solver: Quadratic Formula | \n" );
document.write( "Let's use the quadratic formula to solve for x:
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document.write( " Starting with the general quadratic
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document.write( " the general solution using the quadratic equation is:
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document.write( " So lets solve  ( notice  ,  , and  )
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document.write( "  Plug in a=3, b=5, and c=-3
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document.write( "  Square 5 to get 25
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document.write( "  Multiply  to get 
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document.write( "  Combine like terms in the radicand (everything under the square root)
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document.write( "  Simplify the square root (note: If you need help with simplifying the square root, check out this solver)
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document.write( "  Multiply 2 and 3 to get 6
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document.write( " So now the expression breaks down into two parts
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document.write( "  or 
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document.write( " Now break up the fraction
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document.write( "  or 
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document.write( " Simplify
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document.write( " or
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document.write( " So the solutions are:
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document.write( " or
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document.write( "the domain would be to  and from to \r
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document.write( "Interval notation (, ] U [ , ) \r
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document.write( "or
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document.write( "the domain would be to  and from to \r
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document.write( "Interval notation (, ] U [ , ) \r
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document.write( "d) l(x)= -2x+3
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document.write( "Answer:
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document.write( "(,  ) \r
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document.write( "e) m(x)=3/x^2-7 m \"3 OVER x^2-7\" \r
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document.write( "Answer:\r
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document.write( " cannot be equal to ;  ... ...... \r
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document.write( "the domain would be to  and from to \r
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document.write( "Interval notation (, ] U [, )
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