let f(x) = 6x - 11 and g(x) = 4x^2 find f(g(x)) and what is the domain

Question

operations with functions please help!! algebra 2 and trig thank you thank you

Answer 1

f(g(x)) >> In f(x), replace all of the x's with g(x)

f(g(x)) = 6g(x) -11

f(g(x)) = 6(4x^2) -11

f(g(x)) = 24x^2 -11

There's nothing x can't be- no fraction bars (dividing by 0) or square roots- so x can be anything.  The domain (possible x values) should be all real numbers.