/sci/ - Science & Math

>>3725603
Thats what they all say. Until they get addicted, and become codependent, and start to bleed you fucking dry cause they can't into themselves.

>>3725605
I just need to know how to simply this. I have it set up right, but I guess I have to times root x into that 4x I guess.

>>3725603

g(x) gets substituted for what f(x) is. Since f(x) is sqrt(x), {f[g(x)]} is sqrt(4x - 3).

Unless I'm backwards. Been a while since I've done those.

>>3725616
Ill try out sqrt(4x - 3). what it is is (f*g)x = f(x)*g(x)

>>3725608
right right, you're just another in a long line of /sci/ addicts who'll take and take and never give. You need to quit cold turkey. Sure the withdrawl will be tough, but if you don't stop now, in 5 years you'll be nothing but another welfare queen.

fuck my life

think of it like this...

The notation is saying f of g of x
g is a function of x
f is a function of g

now sub g(x) (the while function) inside the f(x), see how easy that was??
No integrating over the complex plane or anything!

>>3725645

or not your suppose to multiply the functions, DOHOHOHO

>>3725630
>sci getting high school math wrong

Typical.

aw shit I see what I did wrong now. I was thinking to hard. I was thinking since x was being square rooted I had to do some special shit to it. its just another fucking variable.

>>3725645
ill stick to (f*g)x = f(x)*g(x)

>>3725630

Ah Christ... I read it as a function composition.

Sorry mate. I'm getting all kinds of basic shit wrong tonight...

The question asks for the domain as well.

The is the set of x values that are allowed.

Note that the sqrt function can't take a negative, so the domain of (f*g)(x) is {x:x>=0}. (The answer is wrong in the figure without brackets.)

A related question asks for the domain of (f(g(x)). In this case 4x-3>=0, so the domain is {x : x>=3/4}.