Find the inverse function f -1(x) for the given function f(x). f(x) = x + 1/8
1 answer:
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Answer:
As x → -∞, f(x) → 0.5; as x → ∞, f(x) → 0.5
Step-by-step explanation:
Given function:
<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.
As the degrees of the numerator and denominator of the given function are equal, there is a horizontal asymptote at (where a is the leading coefficient of the numerator, and b is the leading coefficient of the denominator). This is the end behavior.
This is because as the -7 of the numerator and the +8 of the denominator become negligible. Therefore, we are left with:
Therefore:
Answer:
Since stress is greater than ultimate strength, the wire will break.
Step-by-step explanation:
The titanium wire is experimenting an axial load. Ultimate strength equals . The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (
), measured in pascals, in the wire with circular cross-section is:
(1)
Where:
- Axial force, measured in newtons.
- Cross-section diameter, measured in meters.
Please notice that axial force is the weight of the man hanging from wire.
If we know that and
, then the axial stress experimented by the titanium wire is:
Since stress is greater than ultimate strength, the wire will break.