How do you write y=31+x2 as a composition of two simpler functions?

Sereinserenormg

Sereinserenormg

Answered

2022-01-25

How do you write y=31+x2 as a composition of two simpler functions?

Answer & Explanation

Jasmine Herman

Jasmine Herman

Expert

2022-01-26Added 11 answers

Let g(x) be the first thing we do if we knew x and started to calculate:
g(x)=x2
Now f will be the rest of the calculation we would do (after we found x2)
It may be easier to think about if we gave g(x) a temporary name, say g(x)=u
So we see that y=31+u
So f(u)=31+u and that tells us we want:
f(x)=31+x
Another answer is to letf (x) be the last thing we would do in calculating y.
So let f(x)=3x
To get y=f(g(x)) we need 3g(x)=y
So let g(x)=1+x2
Kingston Gates

Kingston Gates

Expert

2022-01-27Added 8 answers

Define these functions:
g(x)=1+x2
f(x)=3x
Then:
y(x)=f(g(x))

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