Answer:
Check the explanation
Step-by-step explanation:
where the letter D is the diagonal matrix with diagonal entries λ1,…,λn. Now let's assume V is invertible, that is, this particular given eigenvectors are linearly independent, you get M=VDV−1.
Kindly check the attached image below to see the step by step explanation to the question above.
Given the function f (x) = 3x, find the value of f-1 (81).
For this case, the first thing you should do is rewrite the function.
We have then:
y = 3 ^ x
From here, we clear the value of x:
log3 (y) = log3 (3 ^ x)
log3 (y) = x
Then, we rewrite the function again:
f (x) ^ - 1 = log3 (x)
Now, we evaluate the inverse function for x = 81:
f (81) ^ - 1 = log3 (81)
f (x) ^ - 1 = 4
Answer:
the value of f-1 (81) is:
f (x) ^ - 1 = 4
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Answer:
<h3>-3</h3>
Step-by-step explanation:
For two parallel lines. their slope are equal
Find the slope of each of the lines
For line A;
m = 0 -y/0+1
mA = -y/1
For line B;
mB = 9 - 3/8 - 6
mB = 6/2
mB = 3
since their slope are equal hence mA = mB
-y/1 = 3
-y = 3
y = -3
Hence the value of y is -3