• Interpretation I:
Find f and g, so that
4
(f o g)(x) = —————
x² + 9
Well, there is more than one possibility.
4
For instance, It can be: f(x) = —— and g(x) = x² + 9,
x
and then you have
(f o g)(x) = f[ g(x) ]
4
(f o g)(x) = ————
g(x)
4
(f o g)(x) = ————— ✔
x² + 9
4
Another possibility for that composition: f(x) = ————— and g(x) = x²,
x + 9
and for those, you get
(f o g)(x) = f[ g(x) ]
4
(f o g)(x) = ———————
[ g(x) ]² + 9
4
(f o g)(x) = ————— ✔
x² + 9
As you can see above, there are many ways to find f and g, so the composition of those is (f o g)(x) = 4/(x² + 9).
—————
• Interpretation II:
Find f and g, so that
4
(f o g)(x) = —— + 9
x²
4
It can be: f(x) = x + 9 and g(x) = ——
x²
and then you have
(f o g)(x) = f[ g(x) ]
(f o g)(x) = g(x) + 9
4
(f o g)(x) = —— + 9
x²
2
or it could be also: f(x) = x² + 9 and g(x) = ——
x
and you have again
(f o g)(x) = f[ g(x) ]
(f o g)(x) = [ g(x) ]² + 9
(f o g)(x) = [ 2/x ]² + 9
(f o g)(x) = (2²/x²) + 9
4
(f o g)(x) = —— + 9 ✔
x²
As you can see above, there are many ways to find f and g, so the composition of those is (f o g)(x) = (4/x²) + 9.
I hope this helps. =)
Tags: <em>composite functions rational quadratic linear function algebra</em>
Change 3 to 6 and 2 to 4
Now Do
3/6 + 5/6 = ?
? = 8/6
8/6 = 1 2/6
1 2/6 = 1 1/3
Hello!!
So first you need to find the area of the green circle. The formula for finding area for a circle is A = π r2. So the area for the green circle is 28.26 cm. Then you need to find the area of the blue circle. (Using the same formula) which would be 78.5. Then you subtract the value of the green circle to get the value of the shaded region which then your final answer is 50.24 cm. Hope this helped!!
Answer
0.75 or 3/4 is the answer (degree)
I just solved for the angles and use a graphing calculator to find the din and cosine values and multiply them
The answer to this question is b