Consider the following funtion: f(x) = 2x 3x2 − 3 what is the domain of the function? what is the range of the function?

What is the function

f(x) = 2x / (3x^2 - 3)

???

Domain: R \ {-1 ; 1}

Range: R

Step-by-step explanation:

Given is a function as

We find that this funciton is undefined for denominator =0

Denominator =0 when

Hence function is not defined for x=1,-1

Domain is R-{-1,1}

To find range:

We see that denominator has degree 2 and numerator degree 1

i.e. denominator has more degree of x then numerator

Hence y=0 is horizontal asymptote

But when y=0 we have x=0

Hence though there is a horizontal asymptote range is the set of all real numbers

Domain = R-{-1,1}

Range = R

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.