Hello,
y=1/9 x-2
==>x=1/9 y -2
==>9x=y-18
==>y=9x+18
f^(-1)(x)=9x+18
5/10 bc it is equal to 1/2 which is bigger than 2/5 or 4/10 1/3
Given: <span>f(x) = log3 (x + 1), look for f^-1 (2)
We are looking for the inverse of a function. The inverse of the function can be obtained by switching the variables and obtaining the values of the new function, before substituting f(2). Using a calculator:
</span><span>f^-1 (2) = 8</span>
Sodium oxide is a simple strongly basic oxide. It is basic because it contains the oxide ion, O2-, which is a very strong base with a high tendency to combine with hydrogen ions. Reaction with water: Sodium oxide reacts exothermically with cold water to produce sodium hydroxide solution
Th term of an arithmetic sequence:
We have to find the difference (d)
an=a₁+(n-1)d
Data:
a₁=-7
a₁₈=95
95=-7+(18-1)d
95+7=17d
17d=102
d=102/17
d=6
Now, we can calculate the 35 th term of an arithmetic sequence:
a₃₅=-7+(35-1)*6
a₃₅=-7+34*6
a₃₅=-7+204
a₃₅=197
Answer: the 35th term of this arithmetic sequence is 197. (a₃₅=197)
