<span>Find the inverse of the given function.
f(x) = -1/2√x + 3, x ≥ -3
I will have to assume that you meant f(x) = -(1/2)sqrt(x) + 3. If you actually meant f(x) = -(1/2)sqrt(x+3), then obviously the correct result would be different.
1. Replace "f(x)" by "y:" y </span>= -(1/2)sqrt(x) + 3
2. Interchange x and y: x = -(1/2)sqrt(y) + 3
3. Solve for y: x-3=-(1/2)sqrt(y), so that 2(3-x)= sqrt(y) and y=+sqrt(2[3-x])
4. Replace "y" with
-1
f (x) = sqrt(2[3-x])
Here, there are restrictions on x, since the domain of the sqrt function does not include - numbers. The domain here is (-infinity,3]
He lived 9 months in Portugal and 5 months in Brazil. This is because 130*9 + 150*5 = 1920.
Answer:
I used Desmos to graph your requirements, and i took a screenshot of the graph. Credit to Desmos for the great graphing system.
Step-by-step explanation:
Answer:
it will be 1.50$ off as the discount so sold for 13.50 is the sale price
Answer:
x = 24/15 = 8/3 = 2 2/3
Step-by-step explanation:
remember what you do to the left you must do to the right.
I converted the -5 to -15/3 so I could easily add or subtract
-5/3 x = -8/3
multiply both sides by -3/5 to cancel the coefficient of the x
x = -8/3 * -3/5 = 24/15