functions

Question

+1

266

1

+252

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

CPhill · Answer 1 · 2022-08-04T04:30:12

We must first solve this

sqrt ( x + 1) = 2 square both sides

x + 1 = 4

x = 3

So .... f ( sqrt (x + 1)) = f (sqrt (3 + 1) ) = f(2) = 1/ x = 1 / 3