Please help, Finding f o g and g o f ?
Hello all, I need the answer to the following equation, I'd very much appreciate it!
find A)f o g and b) g o f given F(x) = square root of (x+4) and g(x) = x^2 - 4
if you could give me the answer and briefly go over the steps in finding the equation, i'd be glad! (Talking)
Re: Please help, Finding f o g and g o f ?
Swishh
do you understand what fog and gof means....it is easy...just replace in the place of x the other function
ie. gof(x): get g(x) as function and instead of x replace (substitute) the whole f(x) as it is......same for fog revise the chaper of the composite functions pls.
MINOAS
Re: Please help, Finding f o g and g o f ?
If, for example, $\displaystyle f(x)= 3x^2- x+ 6$ and $\displaystyle g(x)= x^3+ 2x$ then fog(x)= f(x^3+ 2x)= 3(x^3+ 2x)^2- (x^3+ 2x)+ 6[/tex] and $\displaystyle gof(x)= g(3x^2- x+ 6)= (3x^2- x+ 6)^3+ 2(3x^2- x+ 6)$.
Re: Please help, Finding f o g and g o f ?
bump. are both f o g and g o f = to x?
Re: Please help, Finding f o g and g o f ?
Quote:
Originally Posted by
swishh
are both f o g and g o f = to x?
You must realize that $\displaystyle \sqrt{x^2}=|x|\ne x~.$
Re: Please help, Finding f o g and g o f ?
Quote:
Originally Posted by
Plato
You must realize that $\displaystyle \sqrt{x^2}=|x|\ne x~.$
is this for f o g or g o f?
is the answer for f o g and g o f both x, or is it absolute value of x?
Re: Please help, Finding f o g and g o f ?
Quote:
Originally Posted by
swishh
is this for f o g or g o f?
is the answer for f o g and g o f both x, or is it absolute value of x?
You answer your own question by looking at two examples:
$\displaystyle f(g(-3))=~?~~\&~~g(f(-3))=~?$