Question

Let : ℝ → ℝ be a function defined by () = + ℎ , , ∈ ℝ ≠ 0. Show that f is invertible and find inverse of .

Answer 1

khuch samaj nahi aya .........

Answer 2

Answer:

Step-by-step explanation:

f(x)=4x+3

Let f(x  

1

​  

)=f(x  

2

​  

)

⇒4x  

1

​  

+3=4x  

2

​  

+3

⇒x  

1

​  

=x  

2

​  

 

Thus f is one-one

To check onto

let y=4x+3

⇒x=  

4

y−3

​  

 here y∈R

Thus f(x) is onto

Thus f is invertible

inverse of f is =  

4

x−3

​  

=f  

−1

(x)