If x - 4 ≥ 0, then |x - 4| = x - 4, so
G(x) = F(x) ⇒ 3x + 2 = (x - 4) + 2
⇒ 3x + 2 = x - 2
⇒ 2x = -4
⇒ x = -2
Otherwise, if x - 4 < 0, then |x - 4| = -(x - 4), so
G(x) = F(x) ⇒ 3x + 2 = -(x - 4) + 2
⇒ 3x + 2 = -x + 6
⇒ 4x = 4
⇒ x = 1
However,
• when x = -2, we have
G(-2) = 3(-2) + 2 = -4
F(-2) = |-2 - 4| + 2 = 8
• when x = 1, we have
G(1) = 3(1) + 2 = 5
F(1) = |1 - 4| + 2 = 5
so only x = 1 is a solution to G(x) = F(x).
Answer:
66 2/3 as a mixed number or 200/3 as an improper fraction.
Step-by-step explanation:
That would be 66 2/3.
0.6 recurring is 2/3.
It cant be 7 because,
X-7>3
7-7>3
0>3
And 0 is not bigger than 3
It cant be 9 because,
X-7>3
9-7>3
2>3
And 2 is not bigger than 3
So it is 11 because,
X-7>3
11-7>3
4>3
And 4 is bigger than 3
So the answer is 3) 11
Answer:
F(t)
Step-by-step explanation:
We have given 
Now 
Here 
Now first find the Laplace inverse of G(S)
Using partial fraction
On comparing the coefficient
and 
On putting the value of A and B
Taking inverse Laplace
Now in G(s) there is onether term 
So F(t)
