Answer:
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Step-by-step explanation:
Given
Given that the function f(x) and g(x) are inverse functions.
To determine
Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
<u>Determining the inverse function of f(x) </u>
A function g is the inverse function of f if for y = f(x), x = g(y)
Replace x with y
Solve for y
Therefore,
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Let's take a look at the first few numbers in the sequence based on the given rule:
Inspecting this pattern it seems like the power
is being raised to is always one less than the number of the sequence, so if we were on the nth number in the sequence, that part of the expression would be
. We also know that we'll be multiplying whatever we get from that by 6, so we can write the full explicit rule for our sequence as
Where
is the nth number in our sequence.
Answer:
9.48
Step-by-step explanation:
Step-by-step explanation:
step one:
given that the sample space is
red, yellow, green, white, and black. i.e (1+1+1+1+1)= 5
the sample size is 5
the probability of picking a colored card at random is
Pr(a colored card)= 1/5
step two:
without replacement, after the first event, the sample size is now 4
then the probability of picking a colored card at random is
Pr(a colored card)= 1/4
