Respuesta :

Answer:

4 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

To evaluate g(f(0)), evaluate f(0) then use this value to evaluate g(x)

f(0) = 4(0) + 1 = 0 + 1 = 1, then

g(1) = 4 + [tex]\frac{2}{3}[/tex] = 4 [tex]\frac{2}{3}[/tex]

Let's compute f(0) first, and then we'll compute g with that input. We have

[tex]f(x)=4x+1 \implies f(0)=4\cdot 0+1 = 0+1=1[/tex]

So, we have

[tex]g(f(0))=g(1) = 4\cdot 1+\dfrac{2}{3}=4+\dfrac{2}{3}=\dfrac{12}{3}+\dfrac{2}{3}=\dfrac{14}{3}[/tex]