Question:medium
Let $f$ and $g$ be differentiable real valued functions on $[0,\infty)$. If $f$ is increasing, $g$ is decreasing and $h(x)=f(g(x))$, then $h(2026)-h(2025)$ is
Let $f$ and $g$ be differentiable real valued functions on $[0,\infty)$. If $f$ is increasing, $g$ is decreasing and $h(x)=f(g(x))$, then $h(2026)-h(2025)$ is
Show Hint
Increasing $\circ$ decreasing gives decreasing function.
Updated On: Apr 24, 2026
- greater than 1000 but less than 2000
- greater than or equal to 0
- less than or equal to 0
- greater than 2025
- greater than 2026
Show Solution
The Correct Option is C
Solution and Explanation
Was this answer helpful?
0
Top Questions on Increasing and Decreasing Functions
- Given: \(5f (x) 4f(\frac 1x) = x^2 - 4 \) & \(y = 9f(x) × x^2\) If y is strictly increasing, then find interval of \(x\).
- JEE Main - 2024
- Mathematics
- Increasing and Decreasing Functions
- In which interval the function \(f(x) = \frac {x}{(x^2-6x-16)}\) is increasing?
- JEE Main - 2024
- Mathematics
- Increasing and Decreasing Functions
- Let \(f:→R→(0,∞)\) be increasing function such that \(Lt_{x→∞}\frac {f(7x)}{f(x)}=1\), then \(Lt_{x→∞}[\frac {f(5x)}{f(x)}-1]\) is equal to
- JEE Main - 2024
- Mathematics
- Increasing and Decreasing Functions
- If $f(x) = x^2 + bx + 1$ is increasing in the interval $[1, 2]$, then the least value of $b$ is:
- CUET (UG) - 2024
- Mathematics
- Increasing and Decreasing Functions
- Want to practice more? Try solving extra ecology questions todayView All Questions
