The domaine of a functions is the set of the values wherein the function is defined, or the set of the values that the function may take. The range is the image of the function.
Answer A is correct.
C and D are correct too by the definition of the inverse functions.
F is a correct answer.
1,5,7,35
Here is your answer--☝️☝☝☝
the answer is 2 1/2
Step-by-step explanation:
You just double 1/2 and that gets you 2/2 which equals 1 whole. So since you multiplied 1/2 by 2 you do the same to the 1 1/4 (1 1/4 times 2 = 2 1/2)
Plug the x-value into the original equation to get the y-value. Now that you know the x-value, just plug it in to the original formula for the y value. You can think of the formula for finding the vertex of a quadratic function as being (x, y) = [(-b/2a), f(-b/2a)].
Answer:
Clarissa will take 10 hours by herself
Step-by-step explanation:
Let s = time for shawna
s-5 = time for clarissa
The formula for determining the time is
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/s + 1/(s-5) = 1/6
Multiply each side by 6s(s-5) to clear the fractions
6s(s-5) ( 1/s + 1/(s-5)) = 1/6 *6s(s-5)
Distribute
6(s-5) + 6s = s(s-5)
Distribute
6s -30 +6s = s^2 -5s
Combine like terms
12s -30 = s^2 -5s
Move everything to the right
0 = s^2 -5s -12s +30
0 = s^2 -17s +30
Factor
0 = ( s-15) (s-2)
Using the zero product property
s-15 =0 s-2 =0
s =15 s=2 ( This is not a reasonable answer since it is less than the time together)
s=15
s-5 = 10
Clarissa will take 10 hours by herself