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]