9514 1404 393
Answer:
g(f(x)) = x . . . so the functions are inverses
Step-by-step explanation:
Two functions f and g are inverses of each other if ...
g(f(x)) = x or f(g(x)) = x
We are asked to evaluate g(f(x)). That will be x if the functions are inverses.
g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1
g(f(x)) = x . . . . the functions are inverses
Answer:
x is x≥0 x ≥ 0
Step-by-step explanation:
Answer:
29, 26, 21, 14, 5
Step-by-step explanation:
To find the first 5 terms, substitute n = 1, 2, 3, 4, 5 into the n th term formula.
30 - 1² = 30 - 1 = 29
30 - 2² = 30 - 4 = 26
30 - 3² = 30 - 9 = 21
30 - 4² = 30 - 16 = 14
30 - 5² = 30 - 25 = 5
The first 5 terms are 29, 26, 21, 14, 5
Let 2x – y = 3 ——— equation 1
Let x + 5y = 14 ——— equation 2
Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3
• Put eqn 3 in eqn 2
(y + 3 / 2) + 5y = 14
6y = 14 – 3/2
6y = 25/2
y = 25/12
• put y = 25/12 in eqn 3
x = (25/12 + 3/2)
x = 43/12
Answer:
4 dozens
Step-by-step explanation:
<em>Find Eleanor and Joanna's ratio of eggs to milk</em>
Eleanor:
<em>Dozen eggs : gallons of milk</em>
9 : 3
3 : 1
Joanna:
<em>Dozen eggs : gallons of milk</em>
2 : 2
1 : 1
<em>They gather one gallon of milk each which means Joanna has 1 dozen eggs and Eleanor has 3 dozens of eggs.</em>
Total dozen of eggs = 3 + 1 = 4
Therefore, total dozen of eggs the family have per week is 4 dozens.
