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√(2x-1)`

Explanation:

Since we have given that

`g(x)=8x-10`

and f(x) is given by

`f(x)=√(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))=√(8x-10+6)\\\\f(g(x))=√(8x-4)\\\\f(g(x))=√(4(2x-1))\\\\f(g(x))=2√(2x-1)`

Hence, the value of f(g(x)) is
`2√(2x-1)`