Question

Which expression represents the composition [g o f o h](x) for the functions below?

Answer 1

Answer:

$5(15x-4)^3$

Step-by-step explanation:

$f(x) = 5x - 4$

$g(x) = 5x^3$

$h(x) = 3x$

$(gofoh)(x)=g(f(h(x)))$

Replace h(x) first

$g(f(h(x)))=g(f(3x))$

Now we plug in 3x in f(x)

$g(f(h(x)))=g(f(3x))=g(5(3x)-4)=g(15x-4)$

Now we plug in 15x-4 in g(x)

$g(f(h(x)))=g(f(3x))=g(5(3x)-4)=g(15x-4)=5(15x-4)^3$