Question

The functions f and g are defined as follows.

f (x) = 3x^2 - 3x g (x) = 3x -1
Find f(-4) and g(-6)

Simplify your answers as much as possible.

Answer 1

f(-4)=60 and g(-6)=17

Explanation:

f(x)

Plug in -4 for x-values

• 3(-4)^2 - 3(-4)

Square -4

• 3(16) - 3(-4)

Multiply 3 by 16 and -3 by -4 then solve

• 48+12=60

Simplify

• f(-4)=60

g(x)

Plug in -6 for x

• -3(-6)-1

Multiply -3 by -6

• -3(-6)=18

Subtract 1

• 18-1=17

Simplify

• g(-6)=17

Answer 2

For this case we have the following functions:

`f (x) = 3x ^ 2-3x\\g (x) = 3x-1`

We must find the value of the function
`f (x)` when
`x = -4`, then:

`f (-4) = 3 (-4) ^ 2-3 (-4)\\f (-4) = 3 * 16 12\\f (-4) = 48 12\\f (-4) = 60`

We must find the value of the function g (x) when
`x = -6`, then:

`g (-6) = 3 (-6) -1\\g (-6) = - 18-1\\g (-6) = - 19`

Answer:

`f (-4) = 60\\g (-6) = - 19`