Question

Express the rule in function notation for the statement add 1, take the square root and then divide by 6. (For example, the rule “square, then subtract 5” is expressed as the function $f\left(x\right)=x^2-5$.

Short answer

The rule in function notation is $f\left(x\right)=\frac{\sqrt{x+1}}{6}$.

Step-by-step solution

Step 1. Consider the real value function fx.

Let the function is $f\left(x\right)$in variable $\left(x\right)$.

Step 2. Apply the given statement of notation of function.

Add 1 to the variable $\left(x\right)$, take square-root of expression $x+1$and then divide the resultant expression by 6. So that the result obtained is $f\left(x\right)=\frac{\sqrt{x+1}}{6}$.

Step 3. Description of steps.

The required function is $f\left(x\right)=\frac{\sqrt{x+1}}{6}$.