• 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>
Answer:
380
Step-by-step explanation:
10%->38
100%-> 38÷10×100=380
They are based on SSS. They have the middle side which they share and is equal. And those other two lines also make those sides equal, so all sides are equal and they’re congruent
Answer:
Yes, it's true
Step-by-step explanation:
A fraction is a part of a whole number for example 1/2. 1/2 is a half of one whole piece and if you multiply it into any whole number whether it's 2,4,6,8,10...... basically, if you multiply a fraction less than one with a non-zero whole number, it will always be less than the whole number it's being cut into smaller pieces. However, if the fraction is greater than 1, we would technically have an answer greater than the whole number product, just something to remember.
