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) \(\{ x \mid x \geq 1 , x \neq 50 \}\)

---

Definitions:

Medicare Tax

A federal payroll tax imposed on both employees and employers to fund Medicare, the United States' health care program for the elderly and some disabled individuals.

Tax Shifting

The process by which the economic burden of a tax is passed from one entity to another, such as from businesses to consumers.

Regressive

In economics, describes a situation or policy that disproportionately affects those with lower incomes or wealth, often referring to certain tax systems.

Progressive

Relates to a context where something increases or develops in stages incrementally.