Question

Math part 3 question 2

Answer 1

Given:-

• 
  `\sf \: f( x ) = 3x²`

`\:`

• 
  `\sf \: g( x ) = x - 8`

`\:`

To find:-

• 
  `\sf \: ( fg ) (4) = ?`

`\:`

Solution:-

• 
  `\sf \: f( x )*g( x ) = (3x²)*( x - 8)`

`\:`

put the value of x = 4

`\:`

`\sf \: f( 4 )*g( 4 ) = 3(4)²*( 4 - 8 ) \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3×16*(-4) \\ \sf \: \: \: \: \: \: \: \: \: \: \: = 48*( -4 ) \\ \: \: \: \: \underline{ \sf \red{ \: = -192 \: }}`

`\:`

hope it helps! :)