Question

Find the composition f(g) of the functions
F(x)= 4x-2/x^2 , g(x)=3x+1

Answer 1

@nikato

Answer 2

I think that in your f(x) function, wherever you see x, substitute the g(x) function which is 3x+1

Answer 3

So what should I do?

Answer 4

@ybarrap can you please help

Answer 5

So, g(x)=3x+1

Using this equation and plug in as the x value for F(x):
$$
F(x)= 4x-\cfrac{2}{x^2}\\
$$
So you will have
$$
F(g(x))=F(3x+1)=?
$$

That's it!

Answer 6

So pluggin it would give u

f(g)= 4(3x+1)-2/(3x+1)^2

Answer 7

And you can simplify that if you need to