If f(x)=3x+1 and g(x)=2x-5, what is f(g(x)?

f(g(x)) is equal to 6x - 14.

In order to find any composite function, we need to take the instead function (g(x)) and plug it into the outside function (f(x)) where the x term is. So start with the f(x).

f(x) = 3x + 1

Now stick g(x) where x is.

f(g(x)) = 3(2x - 5) + 1

Distribute

f(g(x)) = 3x -15 + 1

And then simplify.

f(g(x)) = 3x - 14

1. a^4+8a^3+24a^2+32a+16

2.y^8+8y^7+28y^6+56y^5+70y^4+56y^3+28y^2+8y+1

3.x^6-3x^4y^2+3x^2y^4-y^6