Give the domain for each of the following: 5+2y/6
5-r/r
2y+1/y+5
I don't get these so yea thank you!
To find the domain of an algebraic expression, we need to identify the values of the variable for which the expression is defined and does not result in any undefined operations.
In the given expressions, the variable is represented by "y". Let's evaluate each expression step by step to find their respective domains.
1) 5+2y/6:
To find the domain of this expression, we need to consider any values of y that would result in dividing by zero. In this case, division by zero occurs when the denominator (6) is equal to zero. So, to obtain the domain, we need to find the values of y that make 6 equal to zero. However, since 6 can never be equal to zero, there are no restrictions on the value of y in this expression. Therefore, the domain is all real numbers.
2) 5-r/r:
Similar to the previous expression, we need to identify the values of r for which this expression is defined. Here, division by zero occurs when the denominator (r) is equal to zero. Therefore, we need to exclude the value of r = 0 from the domain. Hence, the domain for this expression is all real numbers excluding zero.
3) 2y+1/y+5:
Again, we need to avoid division by zero. Here, division by zero happens when the denominator (y+5) is equal to zero. So, we set y+5 = 0 and solve for y:
y + 5 = 0
y = -5
Therefore, the domain for this expression is all real numbers except for y = -5.
In summary:
1) The domain for 5+2y/6 is all real numbers.
2) The domain for 5-r/r is all real numbers excluding zero.
3) The domain for 2y+1/y+5 is all real numbers except for y = -5.