Question

2. Let U and V be two functions on R defined as U(x)=2x-3 and V(x) 3+xdivided by 2.
Prove that U & V are inverse to each
other​

Answer 1

Answer:

To show that U and V are inverses, we need to show that

• U( V( x ) ) = x    and    V( U( x ) ) = x.

For the first one:

  U( V( x ) )

= U( (3 + x)/2 )

= 2[ (3 + x)/2 ] - 3

= (3 + x) - 3

= x

For the second one:

  V( U( x ) )

= V( 2x - 3 )

= [ 3 + (2x - 3) ]/2

= [ 2x ]/2

= x

Hope this helps!