The concern ask me to find for "the features $f(x)=2x-1$ and $h(x)=3x+2$"

$$f circ h(x)$$

However, ns can"t do this as I perform not recognize what the one notation denotes to.Does it mean to multiply?

This notation means that you take the output of $h$ and also use it as the input of $f$. When we are working with a certain $x$ value, we can suggestively create $f(h(x))$ instead.

You are watching: What does an open circle mean

For circumstances if $f(z)=1/z$ and also $h(x)=2+3x$ climate $$(fcirc h)(x) = fig(h(x)ig) = f(2+3x) = frac12+3x.$$

(Note: i only supplied $z$ as the variable because that $f$ to prevent confusion; in exercise the role does not treatment what that is input variable is named.)

The circle $circ$ is the symbol because that composition of functions. In General, if you have two attributes $gcolon X ightarrow Y$ and also $fcolon Y ightarrow Z$, then$fcirc g$ is a function from $X$ come $Z$. Because that $xin X$ one has $(fcirc g)(x) = f(g(x))$.

In your situation one has: $f(x) = 2x-1$, $g(x) = 3x+2$ and $$(fcirc g)(x) = f(g(x)) = 2(g(x))-1 = 2(3x+2) -1 = 6x+3.$$You take the role $g(x)$ and put it in place of the $x$ in the duty $f$.

This is obviously different from $f(x)cdot g(x) = (2x-1)cdot (3x+2) = 6x^2+x-2$.

Thanks for contributing solution to rebab.net Stack Exchange!

Please be sure to*answer the question*. Administer details and also share your research!

But *avoid* …

Use rebab.netJax to layout equations. rebab.netJax reference.

See more: How Many Shots Are In A 750 Ml Bottle Of Vodka? How Many Shots Are There In A Bottle Of Whiskey

To find out more, check out our advice on writing an excellent answers.

post Your price Discard

By clicking “Post her Answer”, friend agree come our regards to service, privacy policy and also cookie plan

## Not the prize you're spring for? Browse various other questions tagged features notation or asking your very own question.

Notation that a Unit Circle: walk $S^1$ only typical a unit circle? Or does it have actually something to perform with symmetric groups?

site architecture / logo design © 2021 ridge Exchange Inc; user contributions license is granted under cc by-sa. Rev2021.10.22.40552

her privacy

By clicking “Accept all cookies”, friend agree stack Exchange have the right to store cookies on your device and disclose information in accordance through our Cookie Policy.