- Write the expression
as one simplified "
" term.
Answer:
.
- Determine the domain that makes the original expression
equivalent to the final expression.
Answer: x>6 or in interval notation,
.
Answer: x=-1.
- Solve the following equation for x:
Answer:
, and
.
- What is the common domain of the two functions?
Answer: The common domain of both functions is -5<x<10, or in interval notation, (-5,10).
- Derive the population equation.
Answer:
, where t=0 corresponds to the year 1950.
- What was the population in 1980?
Answer: The population in 1980 was approximately 322,371 people.
that contains
the points (-1,-6), (2,-3), and (3,-14).
Answer: The formula for the parabola is
- Find the inverse of the function
.
Answer:
.
- Give the domain and range for f(x) and
.
Answer: The domain of f(x) is all real numbers, or interval notation,
.
The range of f(x) is y>0, or in interval notation,
.
The domain of is x>0, or in interval notation,
.
The range of is all real numbers, or in interval notation, .