Answer: The value of f(g(x)) is [tex]2\sqrt{2x-1}[/tex]
Step-by-step explanation:
Since we have given that
[tex]g(x)=8x-10[/tex]
and f(x) is given by
[tex]f(x)=\sqrt{x+6}[/tex]
We need to find the fog(x) i.e. f(g(x)).
So, it becomes,
[tex]f(g(x))=f(8x-10)\\\\f(g(x))=\sqrt{8x-10+6}\\\\f(g(x))=\sqrt{8x-4}\\\\f(g(x))=\sqrt{4(2x-1)}\\\\f(g(x))=2\sqrt{2x-1}[/tex]
Hence, the value of f(g(x)) is [tex]2\sqrt{2x-1}[/tex]
