SOLUTION: which of the following is equivalent to h(m+1)? (a) g(m) (b) g(m)+ 1 (c) g(m)-1 (d) h(m)+1 (e) h(m)-1

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: which of the following is equivalent to h(m+1)? (a) g(m) (b) g(m)+ 1 (c) g(m)-1 (d) h(m)+1 (e) h(m)-1      Log On


   

Question 698648: which of the following is equivalent to h(m+1)?
(a) g(m)
(b) g(m)+ 1
(c) g(m)-1
(d) h(m)+1
(e) h(m)-1
Answer by MathLover1(20849) About Me  (Show Source):
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The correct answer is A, g%28m%29.
explanation:
Evaluate h at m%2B1, it is
=%28m+%2B+1%29%5E2+-+m+-+1
expand:
=m%5E2+%2B+2m+%2B+1+-+m+-+1
=m%5E2+%2B+m
we are looking for an expression of the form n%5E2+%2B+n or n%5E2+-+n for some n
if we let m=n, we see that g%28m%29+=+h%28m%2B1%29 indeed