Question

Find the following for the function in pic below.

I honestly have no idea as to what i’m even looking at so if someone could actually help me i’d be eternally grateful. Thank you :/

Answer 1

a) f(0) = -3
b) f(3) = 30

c) f(-3) = 18

d) f(-x) =
`3x^2` - 2x - 3

e) -f(x) = -
`3x^2` - 2x + 3

f) f(x + 2) =
`3x^2` + 14x - 11

g) f(4x) =
`48x^2` + 8x - 3

h)
`3h^2+6hx+3x^2+2h+2x-3`

Explanation:

There is A LOT of work here. I don't want to put everything, else it will be really long. What you need to know is if you see f(x), where x is any real number (or variable), they want you to sub in that number/variable into ever x you see in the equation.

For example:

a) f(0) =
`3(0)^2` + 2(0) - 3

f(0) = 0 + 0 - 3

f(0) = -3

Now apply that to the rest:

b)
`f(3) = 3(3)^2+2(3)-3`

c)
`f(-3) = 3(-3)^2+2(-3)-3`

d)
`f(-x) = 3(-x)^2+2(-x)-3`

e)
`-f(x) = -(3(x)^2+2(x)-3)`

f)
`f(x + 2) = 3(x+2)^2+2(x+2)-3`

g)
`f(4x) = 3(4x)^2+2(4x)-3`

h)
`f(x+h) = 3(x+h)^2+2(x+h)-3`

Next just simplify the equation.