Question

If f(x) = 4x + 1 and g(x) = x2 – 2x + 1, what is f(g(x)) ?

4x2 – 8x + 5

4x2 + 2x + 2

x2 + 2x + 2

x2 – 2x + 2

Answer 1

4(x^2-2x+1)+1=f(g(x))
4x^2-8x+4+1=f(g(x))
f(g(x))=4x^2-8x+5

Answer 2

Sub g(x) into wherever x is inside f(x)

Answer 3

That makes no sense to me lol is it the first answer?

Answer 4

yeah

Answer 5

Thank you!

Answer 6

let's call g(x) something you are more familiar with, like g(x) = y, then sub that into f(g(x))
Which gives you f(y)=4x+1

Answer 7

Since you substitute whatever is inside f() into any x you have in your function, you'll get 4(y)+1=f(y)
Then just resub y=g(x) = x^2 – 2x + 1