Solving the expressions
we get 
Step-by-step explanation:
We need to Solve the expression: 
Solving:


Applying exponent rule: 

Another exponent rule says: 

So, solving the expressions
we get 
Keywords: Solving Exponents
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Composing functions means that the input of the outer functions is the output of the inner function.
In fact, you can rewrite the circle notation as

So, we can substitute g(x) with its expression:

And since f(x)=x+5, we simply have to add 5 to its input:

Similarly, we have, substituting f with its expression,

And since g(x)=4x+2, we have to multiply the input by 4 and add 2:

Answer:
Not sure if I was ever able to help you but I hope you have an amazing future<#
Answer:
a) P=0.535
b) P=0.204
c) P=0.286
Step-by-step explanation:
The exponential distribution is expressed as

In this example, λ=1/8=0.125 min⁻¹.
a) The probability of having to wait more than 5 minutes

b) The probability of having to wait between 10 and 20 minutes

c) The exponential distribution is memory-less, so it is independent of past events.
If you have waited 5 minutes, the probability of waiting more than 15 minutes in total is the same as the probability of waiting 15-5=10 minutes.

Y^2 = (2x+1)/(x-1)
xy^2-y^2 = 2x + 1
xy^2 - 2x = y^2 + 1
x(y^2 - 2) = y^2 + 1
x = (y^2 + 1) / (y^2 - 2)