Question

f as a function of x is equal to the square root of quantity x plus six; g(x) = 8x - 10 Find f(g(x)).

Answer 1

Answer: The value of f(g(x)) is $2\sqrt{2x-1}$

Step-by-step explanation:

Since we have given that

$g(x)=8x-10$

and f(x) is given by

$f(x)=\sqrt{x+6}$

We need to find the fog(x) i.e. f(g(x)).

So, it becomes,

$f(g(x))=f(8x-10)\\\\f(g(x))=\sqrt{8x-10+6}\\\\f(g(x))=\sqrt{8x-4}\\\\f(g(x))=\sqrt{4(2x-1)}\\\\f(g(x))=2\sqrt{2x-1}$

Hence, the value of f(g(x)) is $2\sqrt{2x-1}$