Question

The function f(x) satisfies f(sqrt(x+1))=1/x for all x>= -1, x does not = 0. Find f(2). Couldn't you just plug it in? sqrt(3) would be 1/sqrt 3? Thank you.

Answer 1

i believe you are correct. the only thing you can do here is replace 2 for x.

Answer 2

The function f(x) satisfies
\[f(\sqrt{x + 1}) = \frac{1}{x}\]
for all $x \ge -1,$ $x\neq 0. Find f(2).