Answer:1493.1
Step-by-step explanation:
Answer:
It means goes up by twos for example 2,4,6,8 all those numbers increase by 2s.
Step-by-step explanation:
Answer:
area = 3
Step-by-step explanation:
area of a triangle = 1/2 base x height
1/2 x 3 x 2 = 1/2 x 6 = 3
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:
D = 0; one real root
Step-by-step explanation:
Discriminant Formula:

First, arrange the expression or equation in ax^2+bx+c = 0.

Add both sides by 9.

Compare the coefficients so we can substitute in the formula.

Substitute a = 1, b = 6 and c = 9 in the formula.

Since D = 0, the type of solution is one real root.