Let f : R → R and g : R → R be defined by f ( x ) = 2 x + 1   &   g ( x ) = x 2 -…

Let f:R→R and g:R→R be defined by f(x)=2x+1 & g(x)=x2-2 determine (gof)(x)=

  1. 2x2−3
  2. 4x2+4x−1
  3. 4x2+4x+1
  4. 2x2−4

Solution

Given that f:R→R defined by f(x)=2x+1

and g:R→R defined by g(x)=x2-2

Now, gof(x)=gf(x)

=g2x+1

=2x+12-2

=4x2+1+4x-2

=4x2+4x-1

Asked in: AP EAMCET 2021 (19 Aug Shift 1)

Practice more Functions questions on Aicharya