Answer:
1) 
2) 
3) 
Step-by-step explanation:
So we have the two functions:
And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).
1)
(f+g)(x) is the same to f(x)+g(x). Substitute:
Combine like terms:
Add:
So:
2)
(f-g)(x) is the same to f(x)-g(x). So:
Distribute:
Combine like terms:
Simplify:
So:
3)
(f*g)(x) is the same to f(x)*g(x). Thus:
Distribute:
Distribute:
Combine like terms:
Simplify:
So:
Answer:
C. f⁻¹(x) = 3 - 5x
Step-by-step explanation:
To find the inverse of a function, switch x and y and solve for y.
f(x) = (3 - x)/5
Change f(x) to y.
y = (3 - x)/5
Switch x and y.
x = (3 - y)/5
Multiply both sides by 5.
5x = 3 - y
Subtract 3 from both sides.
5x - 3 = -y
Multiply both sides by -1.
-5x + 3 = y
Switch the sides.
y = -5x + 3
Change the equation.
y = 3 - 5x
Answer: 33.6 min
Step-by-step explanation:
Volume = L*W*H = 9 * 13 * 14 = 1638 in^3
Vol2 = 21 * 25 *35 = 18375 in^3
18375/1638 = 11.2 times bigger, so 3min * 11.2 = 33.6 minutes
-7 and 1/7
hope this helps!!
