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:
Step-by-step explanation:
80:100=x:20
x=80×20/100=16
Answer:
y = 1500 * 1.09^t
Step-by-step explanation:
It should be clear that the rate of change is non-linear, meaning that we can express the function in the following manner
y = a * b^t, where a is the initial value and b is the rate of change and t is how many years.
Well, year 0 is the rate of change so we can say that a = 1500
Next, we divide any two consecutive year balances to find our rate of change:
1635/1500 = 1.09
Therefore, our equation looks like this: y = 1500 * 1.09^t