Question

2. Iff:R → R is defined by f(x) = 3x - 5, then prove that f(x) is onto.
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Answer 1

Step-by-step explanation:

For onto,

Let f(x)=y

y= 3x-5

y+5=3x

x=y+5/3

Now, let y=1

then x=2

let y=-1

then 4/3

let y=0

then x= 5/3

since, we see that every element in a codomain have its pre image in domain

Range = codomain

Hence it is onto function