Question

Given `f(x)=2x^2+11x-21` and `g(x)=2x-3` how do you determine `y=f(g(x))`?

Answer 1

=`8x^2 -2x - 36`

Explanation:

`f(x) = 2x^2 + 11X -21`
`g(x) = 2x - 3`

Substitute the value of `g(x)` into the `f(x)` function .
`f(g(x)) = 2(2x -3)^2 +11(2x - 3) -21`

= `2( 4x^2 -12x + 9) + (22x - 33) -21`

= `( 8x^2 -24x + 18) + (22x - 33) -21`

=`8x^2 -24x + 22x - 33 -21+ 18`

=`8x^2 -2x - 36`