Question

f(x)=5x^-2/3


find the domain and range

Answer 1

Answer:

Domain

(−∞,0)∪(0,∞)

Range

(−∞,0)∪(0,∞)

Step-by-step explanation:

Domain of f(x) is the values where it is defined

Now for x=0 it is undefined as it is in denominator

and for other values it have some result

so domain is found thus

Suppose y = 5x^-2/3

Now solve for x i.e x = 5^(3/2) / y^(3/2) =f(y)

and domain of f(y) gives range of f(x)

same f(y) is undefined for y=0 and elsewhere has some value

So range is found

Hope it helps :-)