Evaluate the function hx x4 7x2 8 at the given values of

Evaluate the function h(x) = x^4 + 7x^2 + 8 at the given values of the independent variable and simplify. a. h(1) b. h(-1) c. h(-x) d. h(3a)

Solution

given that h(x) = x⁴ +7x² + 8 then

( 1 ) at x = 1 ; h(1) = ( 1 )⁴ +7( 1 )² + 8 = 1 + 7 + 8 = 16

( 2 ) at x = - 1 ; h( -1 ) = ( -1 )⁴ +7(- 1 )² + 8 = 1 + 7 + 8 = 16

( 3 ) Replay x by - x we get h( -x ) = ( -x )⁴ +7(- x )² + 8 = x⁴ +7x² + 8 = h( x )

( 4 ) Replace x by 3a we get h( 3a ) = ( 3a )⁴ +7( 3a )² + 8 = 81a⁴ + 63a² + 8