Let g(x) Be a Linear Function... |JEE Main 2024

JEE MAIN 2024

31-01-2024 S1

Question

Let $g(x)$ be a linear function and $f(x)=\left\{\begin{array}{ll}g(x) & , x \leq 0 \\ \left(\frac{1+x}{2+x}\right)^{\frac{1}{x}} & , x>0\end{array}\right.$, is continuous at $x=0$. If $f^{\prime}(1)=f(-1)$, then the value of $g(3)$ is

Select the correct option:

$\frac{1}{3} \log _e\left(\frac{4}{9 e^{1 / 3}}\right)$

$\frac{1}{3} \log _e\left(\frac{4}{9}\right)+1$

$\log _e\left(\frac{4}{9}\right)-1$

$\log _e\left(\frac{4}{9 e^{1 / 3}}\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

Start Preparing for JEE with Competishun

Report Issue