PRE-CAL;
use the given pair of functions to find and simplify expressions for the following functions and state the domain of each using interval notation.
• (gf)(x)
• (f g)(x)
• (f f)(x)

16. f(x)=3x-

Question

PRE-CAL;
use the given pair of functions to find and simplify expressions for the following functions and state the domain of each using interval notation.
• (gf)(x)
• (f g)(x)
• (f f)(x)

16. f(x)=3x-

phoenixfire · Answer

(gf)(x) means to multiply each equations
(gf)(x)=g(x)*f(x)
substitute the functions in and attempt to simplify.

anonymous · Answer

@PhoenixFire on the first one for (fg)(x)= 3√x-5 what would be my domain?

anonymous · Answer

@PhoenixFire (gf)(x)=√3x-5

anonymous · Answer

(ff)(x)=3(3x-5)-5
9x-15-5
9x-20

phoenixfire · Answer

no you got it wrong... it's not g(f(x)). the way you posed the question is (g*f)(x)
f(x)*g(x)=(3x-5)(√x)=3x√x-5√x
I don't actually know how to simplify that.   but the domain is all positive values of X because √ can't have negatives