Respuesta :

Answer:

The answer to your question is:  f(g(1)) = [tex]\sqrt{8}[/tex]

Step-by-step explanation:

Data

f(x) = [tex]\sqrt{6- x}[/tex]

g(x) = 5x - 7

find: (fog)(1)

f(g(x)) = [tex]\sqrt{6- 5x + 7}[/tex]

f(g(x)) = [tex]\sqrt{13 -5x}[/tex]

f(g(1)) = [tex]\sqrt{13 - 5(1)}[/tex]

f(g(1)) = [tex]\sqrt{8}[/tex]