Answer:
Step-by-step explanation:
We have the function 
and we have the function 
. We want to find g(x) composed with f(x)
Then, the function (f o g)(x) is the same since f(g(x))
That is, you must do x = g(x) and then enter g(x) into the function f(x).
Simplifying, we obtain:
Finally. The composite function is:
ANSWER
EXPLANATION
Let R be the radius of the bigger circle and r, be the radius of the smaller circle.
Then their ratio is given as,
We can rewrite it as fractions to get,
We make R the subject to get,
The area of the bigger circle can be found using the formula,
This implies that,
But it was given in the question that, the area of the bigger circle is 27π.
We divide through by 9π to get,
This means that,
The area of the smaller circle is therefore
Answer:
x = 15/8.
Step-by-step explanation:
Create an equation, let the number be x:
2/3 * x = 5/4
Now we multiply both sides by 3/2
3/2 * 2/3 x = 5/4 * 3/2
x = 15/8.
Answer:
x=1
Step-by-step explanation:
By substituting 1 into the equation for x, both sides will equal 8.
