Question

find all excluded values for the expression. that is, find all values of u for which the expression is undefined. 4u-3/4u+8 if there is more than one value, separate them with commas

Answer 1

The excluded value for the expression (4u-3)/(4u+8) is -2, since it is the only value that makes the denominator equal to zero, resulting in an undefined expression.

Step-by-step explanation:

We are looking to find the excluded values for the expression (4u-3)/(4u+8). To determine these values, we need to identify any numbers that make the denominator equal to zero, since division by zero is undefined in mathematics.

The denominator of the expression is 4u+8. To find the value of u that makes the denominator zero, we set the denominator equal to zero and solve for u:
4u + 8 = 0
4u = -8
u = -2

Therefore, the excluded value for u is -2, and this is the only value at which the expression is undefined as it would result in a division by zero.