Question

g(x)=X^2-2x Find g(x-1) Please explain to me how to plug in everything.

Answer 1

I want to know how you get the answer step by step.

Answer 2

Hey :)

So we have g being a function of x.
That means that you put some value in place of all the x's,
and you get g as your output.\[\large\rm g(\color{orangered}{x})=(\color{orangered}{x})^2-2(\color{orangered}{x})\]

Answer 3

Here is a quick example.
For x=3, our function would look like this:\[\large\rm g(\color{orangered}{3})=(\color{orangered}{3})^2-2(\color{orangered}{3})\]Simplifying, we would determine that\[\large\rm g(3)=3\]
Because 9-6=3
k? :)

Answer 4

So instead of plugging in a numerical value for x,
we're going to plug in x-1,
it might seem a little strange at first.

Answer 5

\[\large\rm g(\color{orangered}{x-1})=(\color{orangered}{x-1})^2-2(\color{orangered}{x-1})\]

Answer 6

And then we need to expand out the right side,
and combine like-terms and all that.

Answer 7

Making ... a little sense up to this point?
Do you understand how to expand out this square?\[\large\rm (x-1)^2=?\]

Answer 8

yes it would be (x-1) (x-1)

Answer 9

which would be x^2-2x+1

Answer 10

\[\large\rm g(x-1)=x^2-2x+1-2(x-1)\]Good!
Expand out the other term,
and combine stuff.

Answer 11

so is the answer be x^2-4x+3?

Answer 12

if my answer is correct then I am good to go!

Answer 13

Yes! Good job!