Pre-Calculus, 9th edition
67

 PAGE: 58 SET: Exercises PROBLEM: 67

The functions are and .

Find .

The sum is the function defined by : .

.

All possible values of is the domain of a function.

The expression under the square root (the radicand) must be nonnegative .

The domain of is .

Find .

The difference is the function defined by : .

.

All possible values of is the domain of a function.

The expression under the square root (the radicand) must be nonnegative .

The domain of is .

Find .

The product is the function defined by : .

.

All possible values of is the domain of a function.

The expression under the square root (the radicand) must be nonnegative .

The domain of is .

Find .

The quotient is the function defined by : .

.

All possible values of is domain of a function.

The expression under the square root (the radicand) must be nonnegative .

.

Find which number make the fraction undefined, create an equation where the denominator is not equal to zero.

The domain of is .

Find .

.

Substitute in .

.

Find .

.

Substitute in .

.

Find .

.

Substitute in .

.

Find .

.

Substitute in .

.

, domain is .

, domain is .

, domain is .

, domain is .

.

.

.

.

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