SOLUTION: If the expression 4z + 1 over 4z - 6 is to make sense, the values that z can take must be restricted. State the restriction on z.

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Question 38612: If the expression 4z + 1 over 4z - 6 is to make sense, the values that z can take must be restricted. State the restriction on z.
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
Denominators can NEVER be zero, so any value that makes a denominator equal zero is a restriction. In this case, the denominator is 4z-6.

Therefore, the denominator 4z-6 must not be zero.
Therefore, the forbidden value would be
4z-6=0

Add 6 to both sides:
4z=6

Divide both sides by 4:
%284z%29%2F4=6%2F4
z=+3%2F2 IS THE FORBIDDEN VALUE!!

Therefore the restriction on z is that Z must NOT equal 3%2F2.

R^2 at SCC