Respuesta :

Answer:

g(h(x)) = 2x + 1

Step-by-step explanation:

[tex]g(x)=\sqrt{x} + 1\\h(x) = 4x^2\\[/tex]

To calculate g(h(x)), we should substitute x in g(x) with our 2nd function, h(x). Basically, saying that x = h(x)

[tex]g(x)=\sqrt{x} + 1\\\\g(h(x))=\sqrt{4x^2} + 1 = \sqrt{4} * \sqrt{x^2} + 1 = 2 *x + 1 = 2x+1[/tex]

Answer: 2x + 1