Question

Verify f(x) = 3-4x, for all x∈R is bijective f:RR

Answer 1

Answer:

If you are in 12th class then answer will be correct

Step-by-step explanation:

f: R→ R defined by f(x)=3−4x

Let x

1

,x

2

∈R such that f(x

1

)=f(x

2

)

⇒ 3−4x

1

=3−4x

2

⇒ −4x

1

=−4x

2

⇒ x

1

=x

2

∴ f is one-one.

For any real number (y) in R, there

4

3−y

in R such that

f(

4

3−y

)=3−4(

4

3−y

)=y

∴ f is onto.

Hence, f is bijective.

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