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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 :/

Find the following for the function in pic below. I honestly have no idea as to what-example-1

1 Answer

6 votes

Answer:

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.

User Expiscornovus
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