Given:
The table of values for the function f(x).
To find:
The values
and
.
Solution:
From the given table, it is clear that the function f(x) is defined as:

We know that if (a,b) is in the function f(x), then (b,a) must be in the function
. So, the inverse function is defined as:

And,

...(i)
Using (i), we get

Now,


Therefore, the required values are
and
.
The question as presented is incomplete, here is the complete question with the multiple choice:
The sequence a1 = 6, an = 3an − 1 can also be
written as:
1) an = 6 ⋅ 3^n
2) an = 6 ⋅ 3^(n + 1)
3) an = 2 ⋅ 3^n
4) an = 2 ⋅ 3^(n + 1)
The correct choice is option 3) an = 2⋅3^n.
If we look at the initial sequence an = 3⋅an-1, and
a1 = 3⋅a0 = 6
a0 = 6/3
a0 = 2
We can now look at the sequence.
a0 = 2
a1 = 6
a2 = 18
a3 = 54
etc...
A common factor in each of those numbers is 2, so we can rewrite the sequence by factoring out 2.
a0 = 2⋅1
a1 = 2⋅3
a2 = 2⋅9
a3 = 2⋅27
The numbers being multiplied by 2 are all factors of 3. So we can rewrite the sequence again as:
a0 = 2⋅3^0
a1 = 2⋅3^1
a2 = 2⋅3^2
a3 = 2⋅3^3
This sequence can now be rewritten as an = 2⋅3^n.
Answer:
7
Step-by-step explanation:
8(7)=56
Answer:11x
Step-by-step explanation:
<h2>ANSWER:</h2><h2 /><h2>
<u>1</u><u>6</u><u>,</u><u>0</u><u>0</u><u>0</u></h2>
<h2>
<u>EXPLA</u><u>NATION</u><u>:</u></h2>
<u>3</u><u>0</u><u>0</u><u>+</u><u>5</u><u>%</u><u>+</u><u>2</u><u>YEARS</u><u>=</u><u>1</u><u>6</u><u>,</u><u>0</u><u>0</u><u>0</u>
<u>HOPE</u><u> IT</u><u> HELPS</u><u> YOU</u>
<u>CAN</u><u> </u><u>YOU</u><u> BRAINLEST</u><u> ME</u>