The answer is 1 1/2 because if you divide 4 into 6 you get I need and a half or 1.5
Note that f(x) as given is <em>not</em> invertible. By definition of inverse function,


which is a cubic polynomial in
with three distinct roots, so we could have three possible inverses, each valid over a subset of the domain of f(x).
Choose one of these inverses by restricting the domain of f(x) accordingly. Since a polynomial is monotonic between its extrema, we can determine where f(x) has its critical/turning points, then split the real line at these points.
f'(x) = 3x² - 1 = 0 ⇒ x = ±1/√3
So, we have three subsets over which f(x) can be considered invertible.
• (-∞, -1/√3)
• (-1/√3, 1/√3)
• (1/√3, ∞)
By the inverse function theorem,

where f(a) = b.
Solve f(x) = 2 for x :
x³ - x + 2 = 2
x³ - x = 0
x (x² - 1) = 0
x (x - 1) (x + 1) = 0
x = 0 or x = 1 or x = -1
Then
can be one of
• 1/f'(-1) = 1/2, if we restrict to (-∞, -1/√3);
• 1/f'(0) = -1, if we restrict to (-1/√3, 1/√3); or
• 1/f'(1) = 1/2, if we restrict to (1/√3, ∞)
Answer:
He can build ...
... min(floor((available wood)/(wood per chair)), floor((available glue)/(glue per chair)))
... = min(floor(6/4), floor(12/6))
... = min(1, 2) = 1
The carpenter can build ...
... e. one chair
Step-by-step explanation:
(a^3b)^2 • 4ab^3
a^6b • 4ab^3
4a^6b+1b^3
Answer:
If the sales tax rate is 7.6%, how much sales tax will you pay on a $330 item?
Step-by-step explanation:
If the sales tax rate is 7.6%, how much sales tax will you pay on a $330 item?