We will conclude that:
- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
<h3>
Comparing the domains and ranges.</h3>
Let's study the two functions.
The exponential function is given by:
f(x) = A*e^x
You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:
y > 0.
For the logarithmic function we have:
g(x) = A*ln(x).
As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:

So the range of the logarithmic function is the set of all real numbers.
<h3>So what we can conclude?</h3>
- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
If you want to learn more about domains and ranges, you can read:
brainly.com/question/10197594
10 1/2 is the answer.
Steps:
Change the fraction to improper fractions.
Multiply
Reduce
Change to proper fraction
Steps(Another Way):
Change the fraction to improper fractions.
Reduce by crossing it(5 and 15 reduced to 1 and 3; 4 and 14 reduced to 2 and 7.)
Change answer to proper fraction.
The height of the baseball is 6 feet at the moment the player begins to leap. Then the correct option is D.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The first equation in the system models the height in feet, h, of a falling baseball as a function of time, t. the second equation models the height in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.
h(t) = 35 - 16t²
h(t) = 6 + 18t + 16t²
At t = 0, Then we have
h(0) = 35 - 16(0)²
h(0) = 35
And
h(0) = 6 + 18(0) + 16(0)²
h(0) = 6
The height of the baseball is 6 feet at the moment the player begins to leap.
More about the function link is given below.
brainly.com/question/5245372