Given f(x) = 3x2 − 48 and g(x) = x − 4, identify (f/g)(x).
1 answer:
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Assuming ya meant 
to slimplify, we use a variation of the pythagorean identity and a decomposition into the sin and cos
for the pythaogreaon identity
divide both sides by
since 
subsitute
recall that
also that cos(x) is an even function and thus cos(-x)=cos(x)
therfore
so we get
decompose them into
and 
to get 
multiply by
to get
we can furthur simlify to get
the expression simplifies to tan(x)sin(x)
to slimplify, we use a variation of the pythagorean identity and a decomposition into the sin and cos
for the pythaogreaon identity
divide both sides by
subsitute
recall that
also that cos(x) is an even function and thus cos(-x)=cos(x)
therfore
so we get
decompose them into
multiply by
we can furthur simlify to get
the expression simplifies to tan(x)sin(x)