The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞
<h3>How to determine the domain?</h3>
This is the set of input values on the table.
All input values (i.e. the x values) on the table are greater than 0 i.e. x > 0
Using the inequality notation, the domain of the table is x > 0
<h3>How to determine the range?</h3>
From the table, the logarithmic function outputs all zero, positive and negative numbers.
This means that the range is the set of all real numbers i.e. -∞ to ∞
Using the inequality notation, the range of the table is -∞ < f(x) < ∞
Read more about domain and range at:
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4. Since f(x) = 2x - 1, we are looking for h(2x - 1), which is (2x-1)^2 + 1. By tha time you expand this you'll get, 4x^2 - 4x + 2. So that is the answer.
5. f(f(x)) = f(2x - 1) = 2(2x - 1) - 1 = 4x - 3
6. h(g(x)) = h(3x) = (3x)^2 + 1 = 9x^2 + 1
1 ft= 12 inches
1/2 ft= 6 inches
=3 1/2 feet - 6 inches
substitute # of inches in for 1/2 foot
=3 ft 6 inches - 6 inches
=3 feet
ANSWER: 3 feet
Hope this helps! :)
Well, we need to consider the x and y coordinates of the giben points, and check wether the y coordinate is greater than twice the x coordinate minus 1 (i.e. 2x-1):
- For the first point, the x coordinate is 0. So, 2x-1 = -1. The y coordinate is 2, and 2>-1. So, this point is a solution.
- For the second point, the x coordinate is 4. So, 2x-1 = 7. The y coordinate is 2, and 2<7. So, this point is not a solution.
- For the third point, the x coordinate is 0. So, 2x-1 = -1. The y coordinate is -10, and -10<-1. So, this point is not a solution.
- For the fourth point, the x coordinate is 4. So, 2x-1 = 7. The y coordinate is 1, and 1<7. So, this point is not a solution.
