Express the function F in the form $f \circ g \circ h$.
$$F(x)=\frac {9}{( x^2 + 7)}$$
I'm not sure how to get $x^2+7$ in the denominator. Here is what I tried:
$$h(x) = (x+7)$$
$$g(x) = x$$
$$f(x) = \frac {9}{x^2}$$
But obviously that gives me $F(x) = \dfrac {9}{(x+7)^2}$ which isn't right… any help is appreciated!
Best Answer
Here’s what you do in general: suppose you want to compute a value of your function. What do you do, in order? Clearly you first square your value of $x$; then you add $7$; then you divide the result into $9$. Now traanslate each of these steps into functional notation, and you have it.