2.7\nscore: 12/25 answered: 12/25\nquestion 13\nlet\n$f(x)=x^{2}-x;g(x)=sqrt{x};h(x)= - 3x$\nevaluate…

2.7\nscore: 12/25 answered: 12/25\nquestion 13\nlet\n$f(x)=x^{2}-x;g(x)=sqrt{x};h(x)= - 3x$\nevaluate $(fcirc h)(5)$\n$(fcirc h)(5)=$\nquestion help: video ebook written example

2.7\nscore: 12/25 answered: 12/25\nquestion 13\nlet\n$f(x)=x^{2}-x;g(x)=sqrt{x};h(x)= - 3x$\nevaluate $(fcirc h)(5)$\n$(fcirc h)(5)=$\nquestion help: video ebook written example

Answer

Explanation:

Step1: Find $h(5)$

Substitute $x = 5$ into $h(x)=-3x$. So $h(5)=-3\times5=-15$.

Step2: Find $(f\circ h)(5)$

Since $(f\circ h)(5)=f(h(5))$, and $h(5)=-15$, substitute $x=-15$ into $f(x)=x^{2}-x$. Then $f(-15)=(-15)^{2}-(-15)=225 + 15=240$.

Answer:

$240$