Question

Find the indicated value of the function. f(x) = √ (x+8) - x - 1 ; f(√ (2)+1) = ?

Answer 1

is it
\[f(x)=\sqrt{x+8}-x-1\]?

Answer 2

No, that didn't work either.

Answer 3

i was not saying that was the answer, i was asking if that was the function

Answer 4

I'm not sure how to do the problem at all. I tried plugging in sqrt{2}+1 for each x.

Answer 5

that is exactly what you need to do

Answer 6

When I do that it doesn't say my answer is right.

Answer 7

\[\sqrt{\sqrt{2}+1+8}-(\sqrt{2}+1)-1\]

Answer 8

don't forget two distribute the minus sign and combine like terms

Answer 9

Do you need to do everything under the radical first then distribute?

Answer 10

there is not much to do under the radical besides saying \(1+8=9\)

Answer 11

\[\sqrt{\sqrt{2}}+9 - \sqrt{2}\]

Answer 12

Is that the answer?

Answer 13

oh no

Answer 14

you need the distributive property for \(-(\sqrt{x}+1)\)

Answer 15

remove parentheses, get \(-\sqrt{x}-1\) then subtract the 1 in the function and get
\[-\sqrt{2}-2\] as the second part

Answer 16

Where do you put that?

Answer 17

\[\sqrt{\sqrt{2}+9}-\sqrt{2}-2\]Would it look like this