Question

Given: f(x) = 5x* - 3x² + 6x + 2. Find f(-2).

Answer 1

`\boxed{f( - 2) \: is \: - 32}`

Explanation:

f(x) = 5x - 3x² + 6x + 2

f(-2) ?

substitute -2 as x into the equation of the function

f(-2) = 5(-2) - 3(-2)² + 6(-2) + 2

• Note :
• positive × negative = negative
• (-x)² = -x × (-x)
• negative × negative = positive

`f( - 2) = - 10 - 3.4 + ( - 12) + 2`

`f( - 2) = - 10 - 12 + ( - 12) + 2`

`f( - 2) = - 22 - 12 + 2`

`f( - 2) = - 32`

Answer 2

f(-2) =-32

Explanation:

f(x) = 5x* - 3x² + 6x + 2. f(-2)

f(-2) = 5(-2) - 3(
`-2^(2)`) + 6(-2) + 2

f(-2) = -10 - 3(4) -12 + 2

f(-2) = -10 - 12 -12 + 2

f(-2) = (-10 - 12 -12) + 2

f(-2) = (-10 -24) + 2

f(-2) = (-34) + 2

f(-2) =-32

Hope that helps!