For diamonds of impeccable quality, the cost C, in dollars, is related to the mass, m, in carats, by the formula Jay-Z bought an 18-carat engagement ring.

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Presentation transcript:

For diamonds of impeccable quality, the cost C, in dollars, is related to the mass, m, in carats, by the formula Jay-Z bought an 18-carat engagement ring for Beyoncé at the price of 5 million US dollars. How much are the diamonds in the engagement ring worth?

What would happen if we tried to evaluate the expression for y = 5? This expression is undefined! Restrictions of Expressions

Find any real numbers that make the following expression undefined. The expression is undefined when 15x + 45 = 0. So the expression is undefined when x =  3. Example

Find any real numbers that make the following expression undefined The expression is undefined when 3t +1< 0 So the expression is undefined when t < -1 3 Example 3t +1< 0 3t < -1 t < -1 3

For what values of x is the following expression defined? The expression is undefined when < 0 and x + 2 = 0 So the expression is defined when x ≥ 1 Example < 0x - 1 < 0 x < 1 x + 2 < 0 x < -2

Solve the equation for k and determine if any restrictions exist for

a) Solve the equation for f b) Determine if any restrictions exist for the variable t