Math  /  Algebra

Questionr(x)=2xs(x)=x\begin{array}{l} r(x)=2 \sqrt{x} \\ s(x)=\sqrt{x} \end{array} (rs)(3)=\left(\frac{r}{s}\right)(3)=

Studdy Solution

STEP 1

STEP 2

} \text{} Simplify the expression r(x)s(x) \frac{r(x)}{s(x)} .
Given r(x)=2x r(x) = 2\sqrt{x} and s(x)=x s(x) = \sqrt{x} , we have: r(x)s(x)=2xx\frac{r(x)}{s(x)} = \frac{2\sqrt{x}}{\sqrt{x}}
\text{

STEP 3

} \text{} Simplify the fraction by canceling out x \sqrt{x} in the numerator and denominator: 2xx=2\frac{2\sqrt{x}}{\sqrt{x}} = 2
\text{

STEP 4

} \text{} Evaluate the simplified expression at x=3 x = 3 : (rs)(3)=2\left(\frac{r}{s}\right)(3) = 2
\text{Solution:} The value of (rs)(3) \left(\frac{r}{s}\right)(3) is 2 2 .

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord