Answer:
If f and h are inverses, then:
f (h(x) ) = x and also
h( f(x) ) = x
Step-by-step explanation:
Inverse function: The function f(x) goes from domain to range and the inverse function f^{-1} goes from Range to domain
Option C is correct
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Answer:
The Laplace transform of f(t) = 1 is given by
F(s) = (1/s) for all s>0
Step-by-step explanation:
Laplace transform of a function f(t) is given as
F(s) = ∫∞₀ f(t) e⁻ˢᵗ dt
Find the Laplace transform for when f(t) = 1
F(s) = ∫∞₀ 1.e⁻ˢᵗ dt
F(s) = ∫∞₀ e⁻ˢᵗ dt = (1/s) [-e⁻ˢᵗ]∞₀
= -(1/s) [1/eˢᵗ]∞₀
Note that e^(∞) = ∞
F(s) = -(1/s) [(1/∞) - (1/e⁰)]
Note that (1/∞) = 0
F(s) = -(1/s) [0 - 1] = -(1/s) (-1) = (1/s)
Hope this Helps!!!
Let k = the constant amount added to the sequence since this
is an arithmetic sequence
x = missing
number
You have to formulate an equation based on the sequence:
6 + k = x or k = x – 6
x + k = 30
Substitute the value of k to the second formula:
x + x – 6 = 30
2x = 36
x = 18
Therefore, the missing number is 18.
No solution! Hope this helped