বিপরীত ফাংশন
f(x)= 3x- 6 ফাংশনের বিপরীত ফাংশন কোনটি?
6x-3
3x+ 6
y=f(x)=3x−6 y=f(x)=3 x-6 y=f(x)=3x−6
∴x=y+63∴f−1(x)=x+63 \begin{array}{l} \therefore x=\frac{y+6}{3} \\ \therefore f^{-1}(x)=\frac{x+6}{3} \end{array} ∴x=3y+6∴f−1(x)=3x+6
If the function f:[2,∞]→[1,∞]f:[2,\infty ]\rightarrow [1,\infty ]f:[2,∞]→[1,∞] is defined by f(x)=3x(x−2)f(x)=3^{x(x-2)}f(x)=3x(x−2) then f−1(x)f^{-1}(x)f−1(x) is-
f:R→R f{:} ℝ \to ℝ f:R→R ফাংশনটি f(x) = 2x2 + 5 দ্বারা প্রকাশিত হলে f-1(3) = কত?
দৃশ্যকল্প-১: g(x)=x+25x−1(x≠15)g(x)=\frac{x+2}{5 x-1}\left(x \neq \frac{1}{5}\right)g(x)=5x−1x+2(x=51)
দৃশ্যকল্প-২: ∫x=−x2−6x+16\int x=\sqrt{-x^2-6 x+16}∫x=−x2−6x+16
Let f(x)=(x+1)2−1,x≥−1f(x)=(x+1)^{2}-1, x\ge -1f(x)=(x+1)2−1,x≥−1. Then the set {x:f(x)=f−1(x)}\left\{x: f(x)=f^{-1}(x)\right\}{x:f(x)=f−1(x)} is-