<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]
Answer:
Step-by-step explanation:
Hmmmmm you did not give the full equation for the original line.
However, parallel lines have identical slopes. Whatever coefficient (m) is associated with the x value, will be the slope of the parallel line when the equation is put in the form
y = mx + b
Answer:
if each tub is $12 the student would make $288
Step-by-step explanation:
I think in the first sentence, that should have been 3/4 instead of 34. Total amount of steak bought (lb)
total amount = (3/4 lb/steak)(12 steak) = 9 lb
To find the total amount that Silvia spends for each pound of steak, we divide $90 by 9 and that will give us an answer of $10.