if f(x)=x^2 find f(2-sqrt6)
Plug in 2-sqrt 6 where x goes, and perform the indicated operation. That meand, in this case, calculate
(2-sqrt6)^2.
You will learn much more by doing these yourself than by finding someone to do these problems for you.
I have the answer as 10-4sqrt6 is that right?
Yes!
To find f(2 - √6), you need to substitute the value (2 - √6) into the function f(x) = x^2 and calculate the result.
Let's go through the steps:
1. Start with the given function: f(x) = x^2
2. Replace x with (2 - √6): f(2 - √6) = (2 - √6)^2
3. Apply the exponent. When you square a binomial, you multiply the binomial by itself: (2 - √6)^2 = (2 - √6)(2 - √6)
4. Use the FOIL method (First, Outer, Inner, Last) to multiply the binomials: (2 - √6)(2 - √6) = 2 * 2 + 2 * (-√6) - √6 * 2 - √6 * (-√6)
= 4 - 2√6 - 2√6 + 6
= 10 - 4√6
So, f(2 - √6) = 10 - 4√6.