Answer:
Inverse of f exists.
Step-by-step explanation:
From the graph attached,
If we do the horizontal line test for the function graphed,
We find the function as one to one function.
In other words for every input value (x-value) there is a different output value.
Since, for one-to-one functions, inverse of the functions exist.
Therefore, the answer will be,
The inverse of 'f' exists.
Answer:
a) The value of absolute minimum value = - 0.3536
b) which is attained at
Step-by-step explanation:
<u>Step(i)</u>:-
Given function
...(i)
Differentiating equation (i) with respective to 'x'
...(ii)
Equating Zero
<u><em>Step(ii):</em></u>-
Again Differentiating equation (ii) with respective to 'x'
put
The absolute minimum value at
<u><em>Step(iii):</em></u>-
The value of absolute minimum value
on calculation we get
The value of absolute minimum value = - 0.3536
<u><em>Final answer</em></u>:-
a) The value of absolute minimum value = - 0.3536
b) which is attained at
Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
Answer:
1
Step-by-step explanation:
1*1=1
thats it tbh