Math, asked by Anonymous, 1 month ago

show that the function f:R->R define by (f)=4x-3/5, x €r is one and onto​

Answers

Answered by CuriousRohan
3

Answer:

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Attachments:
Answered by cuteangle66
2

Answer:

f:R→R

f(x)=4x+3

if(x

1

)=f(x

2

)

4x

1

+3=4x

2

+3

x

1

=x

2

f(x) is one-one

f(x)=4x+3

y=4x+3

y−3=4x

x=

4

y−3

put x in

f(x)

f(x)=4(

4

y−3

)+3

y−3+3=y

f(x) is onto

So ,

f(x) is invertible since the function is bijective.

f(x)=4x+3

x=4y+3

4y=x−3

y=

4

x−3

f

−1

(x)=

4

x−3

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