Determine the domain and range of function, Mathematics

Assignment Help:

Determine the domain of each of the following functions.

                        f( x ) = x - 4 / x2 - 2 x -15

Solution

With this problem we have to avoid division by zero and thus we have to determine where the denominator is zero that means solving,

x2 - 2 x -15 = ( x - 5) ( x + 3) =0

⇒  x = -3, x = 5

Thus, these are the only values of x that we have to avoid and therefore the domain is,

Domain: All real numbers except x = -3 & x = 5

 


Related Discussions:- Determine the domain and range of function

Tangents, two circle of radius of 2cm &3cm &diameter of 8cm dram common tan...

two circle of radius of 2cm &3cm &diameter of 8cm dram common tangent

Determine how much more time it will take to reach the base, A man on a top...

A man on a top of a tower observes a truck at an angle of depression α where tanα = 1/√5 and sees that it is moving  towards the base of the tower. Ten minutes later, the angle of

Calculus, Properties of Integration

Properties of Integration

How to divide two fractions, Q. How to divide two fractions?If you want to ...

Q. How to divide two fractions?If you want to divide two fractions, You invert the second fraction (that means, turn it upside-down) and multiply (change the division to a

Harmonic progression (h.p.), Three quantities a, b and c are said to ...

Three quantities a, b and c are said to be in harmonic progression if, In this case we observe that we have to consider three terms in o

Probability, If a school has lockers with 50 numbers on each co...

If a school has lockers with 50 numbers on each combination lock, how many possible combinations using three numbers are there.

Geometry., solve for y given that 3sin^2 y+cos y-1=0 for 0y360

solve for y given that 3sin^2 y+cos y-1=0 for 0y360

Shares and divident, A man invest ?13500 partly in shares paying 6% at ?140...

A man invest ?13500 partly in shares paying 6% at ?140 and partly in 5% at 125.If he is tolal income is 560, how much has he invested in each?

How much, If one acre costs $2500 how much does .39 of an acre cost

If one acre costs $2500 how much does .39 of an acre cost?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd