Find the Domain of the Composite Function F $f ^ { \circ } g$

question 29

Multiple Choice

Find the domain of the composite function f $f ^ { \circ } g$
- $$f ( x ) = \frac { 1 } { x - 7 } ; \quad g ( x ) = \sqrt { x - 1 }$$

• A) \(\{ x \mid x \geq 1 , x \neq 7 \}\)
• B) \(\{ x \mid x \geq 1 , x \neq 7 , x \neq 50 \}\)
• C) \(\{ x \mid x\) is any real number \(\}\)
• D) \(\{ x \mid x \geq 1 , x \neq 50 \}\)

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Definitions:

Symbol

A mark or character used as a conventional representation of an object, function, or process.

Numerator

The top number in a fraction, indicating how many parts of a whole are being considered.

Two-tailed Test

A statistical test in which the critical area for rejection of the null hypothesis is on both sides of the distribution.

Variance

A statistical measurement of the spread between numbers in a data set, indicating how far each number in the set is from the mean.