Question

If f(x) =2x^2 -4 find (-5)•f(x)

Answer 1

`- 5 \bullet \: f(x) = - 10 {x}^(2) + 20`

EXPLANATION

The given function is

`f(x) = 2 {x}^(2) - 4`

`- 5 \bullet \: f(x) = - 5( 2 {x}^(2) - 4)`

Expand the parenthesis using the distributive property to get,

`- 5 \bullet \: f(x) = - 10 {x}^(2) + 20`

Therefore if
`f(x) = 2 {x}^(2) - 4`, then
`- 5 \bullet \: f(x) = - 10 {x}^(2) + 20`

Answer 2

(-5)f(x)= -10x^2.

Explanation:

If f(x) = 2x^2

We need to find (-5)f(x) = (-5) (2x^2) = -10(x^2) = -10x^2.

To solve this problem you just need to multiply (-5) by "2" which is the factor that multiplies the term "x^2"