Find the domain of the function.

$f(x)=\sqrt{5x-40}$

The domain is ?

$f(x)=\sqrt{5x-40}$

The domain is ?

Carpanedam7
2022-07-25
Answered

Find the domain of the function.

$f(x)=\sqrt{5x-40}$

The domain is ?

$f(x)=\sqrt{5x-40}$

The domain is ?

You can still ask an expert for help

sweetwisdomgw

Answered 2022-07-26
Author has **20** answers

Step 1

Since square root is defined only for non-negative numbers we must have

$5x-40\ge 0\phantom{\rule{0ex}{0ex}}5x\ge 40\phantom{\rule{0ex}{0ex}}x\ge \frac{40}{5}\phantom{\rule{0ex}{0ex}}x\ge 8$

Step 2

Hence domain is $[8,\mathrm{\infty}]$

Since square root is defined only for non-negative numbers we must have

$5x-40\ge 0\phantom{\rule{0ex}{0ex}}5x\ge 40\phantom{\rule{0ex}{0ex}}x\ge \frac{40}{5}\phantom{\rule{0ex}{0ex}}x\ge 8$

Step 2

Hence domain is $[8,\mathrm{\infty}]$

asked 2021-05-07

asked 2022-11-25

How to determine a combination or permutation of $7{C}_{4}$

asked 2022-02-03

If $a-2b=15$ and $ab=11$ then find the value of $a}^{2}+4{b}^{2$ ?

asked 2022-05-23

How do you solve and graph $p-\frac{7}{12}>\frac{3}{10}$ ?

asked 2022-02-02

How do you simplify the expression: $2\times 7b$ ?

asked 2020-12-25

A standard piece of paper is 8.5 inches by 11 inches. A piece of legal-size paper is 8.5 inches by 14 inches. By what scale factor k would you need to dilate the standard paper so that you could fit two pages on a single piece of legal paper?

asked 2022-07-04

Find the set of points belonging to the coordinate plane xy, for which the real part of the complex number $(1+i){z}^{2}$ is positive.