Question

If f(x) = -x - 2 and g(x) = x^2, what is (g º f)(-6)?

Answer 1

Know where to start with this?

Answer 2

I think you substitute things, but honestly I have no clue.

Answer 3

You're trying to find \(g(f(x))\) when \(x=-6\)

Start with finding what \(g(-x-2)\) is first. that means in your function for \(g(x)\) you plug in \(-x-2\) wherever you see an \(x\)

Answer 4

once you expand that out, plug in the value of \(-6\) for \(x\) and simplify your equation.

Answer 5

alternatively, find \(g(-6)\) and then take \(f\) of the result

Answer 6

Ok, so what happens when you expand \((-x-2)^2\) ?

Answer 7

You get -x - 4 ?

Answer 8

Not quite :( let's try this. \[(-x)^2 -2(-x)(4) +(4)^2\] whats that give you? :)