Question

Please give step by step answer

Answer 1

`x^(4)` - 4x² - 3

Explanation:

g(x) = - 4x + 2

g(x²) = - 4x² + 2

h(x) = x² - 5

h(x²) = (x²)² - 5 =
`x^(4)` - 5

Then

g(x²) + h(x²)

= - 4x² + 2 +
`x^(4)` - 5

=
`x^(4)` - 4x² - 3

Answer 2

`g( {x}^(2) ) = - 4( {x}^(2) ) + 2 \\ = - 4 {x}^(2) + 2 \\ h( {x}^(2) ) = {( {x}^(2) )}^(2) - 5 \\ = {x}^(4) - 5 \\ g( {x}^(2) ) + h( {x}^(2) ) \\ = - 4 {x}^(2) + 2 + {x}^(4) - 5 \\ = {x}^(4) - 4 {x}^(2) - 3`