Find the domain of g ( x ) = x + 1 x 2 − 5 x + 6 . Write your answer in interval notation.2. Use the graph of h(x) below to evaluate each. h ( − 2 ) = ? h ( 0 ) = ? h ( 4 ) = ?

Question

Find the domain of   g  (  x  )  =            x      +      1                      x        2            −      5      x      +      6      . Write your answer in interval notation.2. Use the graph of h(x) below to evaluate each.  h  (  −  2  )  =  ?    h  (  0  )  =  ?    h  (  4  )  =  ?

bardalhg · Accepted Answer

Step 11) g(x) is defined when   x  2  −  5  x  +  6  ≠  0     and     x  +  1  ≥  0  ⇒  (  x  −  2  )  (  x  −  3  )  ≠  0     and     x  ≥  0  −  1  =&amp;gt;  (  x  −  2  )  ≠  0     and     (  x  −  3  )  ≠  0     and     x  ≥  −  1  ⇒  x  ≠  2     and     x  ≠  3     and     x  ≥  −  1Domain is   [  −  1  ,  2  )  ∪  (  2  ,  3  )  ∪  (  3  ,  ∞  )Step 22)   h  (  −  2  )  =  −  1  h  (  0  )  =  −  1  h  (  4  )  =  1

Find the domain of g(x)=(sqrt{x+1})(x^2-5x+6)

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