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(f+g)(x) means to add f(x) and g(x)

(f-g)(x) means to take away g(x) from f(x)
or just write f(x)-g(x)

(f/g)(x) means to write f(x)/g(x)

ok i have a question

what is wrong with this picture \[f(x) = a^2 - 1\]

im lost

me too
if you have a function of x, it should have an x in it

whats going on?

well are your functions really f(x)=a^2-1 and g(x)=a/(a+1) ?

don't know
does it really say
\[f(x)=a^2-1\] or is it
\[f(x)=x^2-1\]

freckles, yes.

what it says is what it is. I'm just not understanding how to solve it.

whatever they are
just add f(x) and g(x) to find (f+g)(x)

okay

have you found (f+g)(x)?

nope I've been trying but i don't know what I'm doing

do you know how to add f(x) and g(x)
that is do you know how to add a^2-1 and a/(a-1) ?

no

no i wasn't.

try this one:
\[(f-g)(x)=f(x)-g(x)\]

no clue

f(x)=a^2-1
and g(x)=a/(a-1)
all you have to do is replace f(x) with a^2-1
and g(x) with a/(a-1)

what exactly am i doing with this? and should the answer be a equation?

i understand none of this and it gets frustrating

I'm attempting to follow

ok

ok now you try finding (f-g)(x) for your f(x) and g(x)

remember (f-g)(x) is the same as f(x)-g(x)

just replace f(x) with a^2-1
and g(x) with a/(a-1)