SOLUTION: \[f(\sqrt{x + 1}) = \frac{1}{x}\]
for all $x \ge -1,$ $x\neq 0.$ Find $f(2)$.
Algebra.Com
Question 1041054: \[f(\sqrt{x + 1}) = \frac{1}{x}\]
for all $x \ge -1,$ $x\neq 0.$ Find $f(2)$.
Answer by MaxWong(38) (Show Source): You can put this solution on YOUR website!
To find f(2), We have to set sqrt(x+1) = 2
f(sqrt(x+1))=1/x
f(sqrt(3+1))= 1/3
Therefore f(2) = 1/3
RELATED QUESTIONS
The function $f$ satisfies
\[f(\sqrt{x + 1}) = \frac{1}{x}\]for all $x \ge -1,$ $x\neq... (answered by jim_thompson5910)
Suppose f(x) is a rational function such that
3 f \left( \frac{1}{x} \right) -... (answered by CPhill)
The function $f$ satisfies
\[f(\sqrt{x + 1}) = \frac{1}{x}\]for all $x >= -1,$ $x is not (answered by ikleyn)
The function f satisfies
f(\sqrt{2x - 1}) = \frac{1}{2x - 1}
for all x not equal to... (answered by ikleyn,math_tutor2020)
The function f(x) satisfies
f(sqrt(x+1)) = 1/x
for all x >= -1, x is not = 0. Find... (answered by robertb)
The function f satisfies
f(sqrt(x+1))=1/x
For all x >= -1, x does not equal 0. Find... (answered by ikleyn)
For each of the following functions, determine if the function is increasing, decreasing, (answered by CPhill)
For f(x) = SqRt(x^3 + 1) find... (answered by jsmallt9)
For each of the following functions, determine if the function is increasing, decreasing, (answered by CPhill)