Solutions > Weierstrass Substitution Calculator >

range of (x^2+4x-45)/(x^2+x-30)

Topic

Full pad

`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

partial fractions substitution long division trigonometric substitution by parts

See All

area

asymptotes

critical points

derivative

domain

eigenvalues

eigenvectors

expand

extreme points

factor

implicit derivative

inflection points

intercepts

inverse

laplace

inverse laplace

partial fractions

range

slope

simplify

solve for

tangent

taylor

vertex

geometric test

alternating test

telescoping test

pseries test

root test

Steps Examples

Generated by AI

range x²+4x−45x²+x−30

Solution

f(x)<1 or 1<f(x)<1411 or f(x)>1411

Interval Notation

(−∞ , 1)∪(1, 1411 )∪(1411 , ∞ )

Show Steps

Hide Steps

Solution steps

One step at a time

Function range definition

The set of values of the dependent variable for which a function is defined

Find the minimum and maximum value in each defined interval and unite the results

Domain of x²+4x−45x²+x−30 : x<−6 or −6<x<5 or x>5

Simplify x²+4x−45x²+x−30 : x+9x+6

Extreme Points of x+9x+6 : None

Find the range for the interval −∞ <x<−6: −∞ <f(x)<1

Find the range for the interval −6<x<5: 1411 <f(x)<∞

Find the range for the interval 5<x<∞ : 1<f(x)<1411

Combine the ranges of all domain intervals to obtain the function range

f(x)<1 or f(x)>1411 or 1<f(x)<1411

f(x)<1 or 1<f(x)<1411 or f(x)>1411

Solve instead

domain x²+4x−45x²+x−30

inverse x²+4x−45x²+x−30

intercepts x²+4x−45x²+x−30

Weierstrass Substitution Examples

Popular topics

median calculator dot product calculator arc length calculator maclaurin series calculator z score calculator critical point calculator inequalities calculator range calculator determinant calculator second derivative calculator lcm calculator partial derivative calculator complete the square calculator distributive property calculator mixed fractions calculator Time Calculator gradient calculator triple integrals calculator partial fractions calculator indefinite integral calculator solve for x calculator double integral solver vector calculator Date Calculator vertex calculator binomial expansion calculator decimal to fraction calculator difference quotient calculator eigenvalue calculator piecewise functions calculator radius of convergence calculator roots calculator exponential function calculator interval of convergence calculator fractions divide calculator inflection point calculator expand calculator variance calculator fractions multiply calculator fourier series calculator foil calculator modulo calculator series convergence calculator linear algebra calculator

Chat with Symbo

Hi, ask a question about range x²+4x−45x²+x−30 or choose from the options below

Explain how to find range of a function

I want to solve something else

Cooking Calculators

Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter More calculators

Fitness Calculators

BMI Calculator Calorie Calculator BMR Calculator More calculators

Notebook

View Full Notebook

−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

range of (x^2+4x-45)/(x^2+x-30)

Solution

Solution steps

Solve instead

Number Line

Graph