Answer:
y = logx/log8
Step-by-step explanation:
To find the inverse of an equation, you switch the locations of x and y, then solve for y.
So in this case, f(x) = y, and your equation is:
y = 8^x
It would become
x = 8^y
There are multiple ways to solve this- one I usually use is logs, so you take the log of both sides.
log x = ylog8
(when you take the log of something the exponent becomes a coefficient)
Then, y = logx/log8
I hoped this helped!
A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.
We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule
f(n + 1) = -4 f(n) + 3
We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)
f(1 + 1) = -4 f(1) + 3
f(2) = -4 • 1 + 3
f(2) = -1
We do the same thing to find the next term f(3) :
f(2 + 1) = -4 f(2) + 3
f(3) = -4 • (-1) + 3
f(3) = 7
One more time to find the next term f(4) :
f(3 + 1) = -4 f(3) + 3
f(4) = -4 • 7 + 3
f(4) = -25
Yes. One input results in one output. the last choice is correct.
every x value will product only one y value.
