If f(X)= 7x +5/3 - x =6x +5/3
y= 6x +5/3
6x= y-5/3
f^-1(y)=x=(y-5/3)/6
So we can write
f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y
The same result can be obtained for f^-1(f(x))=x
If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)
Answer:
1)( y= 0.12 * x ) y(dependent) , x(independent) 2) x=150 : y=18 / x=300 : y=36 / x=450 : y=54 / x=600 : y=72 / x=750 : y=90 / x=900 : y=108 3) 300+750+1050=2100 pound
2100*0.12=252 pound food they need to eat in each day
252*7=1764 pound in each month
Answer:
His score decreased by 9 percent this time.
Step-by-step explanation:
From his first history exam he had a score of 90 percent. The difference between his first score and present score is given by
90 - 81 = 9
Answer:
by experts to help you in doubt clearance & scoring excellent marks in exams.
Step-by-step explanation:
Answer: 0.03125
Step-by-step explanation:
We know that the probability of getting a tail , we toss a fair coin = 0.5
Given : Total number of trials = 5
Using binomial probability formula :
, where P(x) is the probability of getting success in x trails, n is total number of trials and p is the probability of getting success in each trial.
The probability of getting "tails" on all five coins :_

Hence, the probability of getting "tails" on all five coins =0.03125