## anonymous one year ago Let g(x)=2x and h(x)=x^2+4. Find the value. (h o g) (1) How do you do this?

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1. Nnesha

first) substitute x for 1 into g(x) function :D

2. Nnesha

(h o g) meaning find $\huge\rm h(\color{red}{g(1)})$

3. anonymous

Oh ok

4. Nnesha

$\huge\rm g(\color{reD}{1})=2\color{ReD}{x}$ replace x with 1

5. anonymous

On the other side as well or only on the left?

6. anonymous

$$\bf {\color{brown}{ g(x) }}=2x\qquad h(x)=x^2+4\qquad (h\circ g)(x) \iff h(\ {\color{brown}{ g(x)}}\ ) \\ \quad \\ h(\ {\color{brown}{ g(x)}}\ )={\color{brown}{ g(x)}}^2+4\implies h(\ {\color{brown}{ g(x)}}\ )={\color{brown}{ (2x)}}^2+4$$

7. anonymous

Ah ok

8. anonymous

And then do I keep simplifying to get a final number?

9. Nnesha

well right side g(x) is same as y

10. anonymous

Thank you