Question

Rewrite the function

Answer 1

The function
`f(x) = √(4x-24)-6` can be rewritten as
`f(x)=2√(x-6)-6`.

How to rewrite functions in simplified form.

The function
`f(x) = √(4x-24)-6` can be rewritten by simplifying the expression inside the function's square root.

The expression 4x - 24 can be written as 4(x-6). Replacing it back into the original function, we have:

`f(x) = √(4(x-6)) -6`

Using the rule of exponent where
`√(a) = a^(1/2)`;

`f(x) = (4(x-6))^(1/2) -6`

`f(x)=2√(x-6)-6`

Therefore, we can conclude that the function
`f(x) = √(4x-24)-6` can be rewritten as
`f(x)=2√(x-6)-6`.