ফাংশন ও ফাংশনের লেখচিত্র
f(x)=x4–x2+14 f{\left ( x \right )} = x^{4} – x^{2} + \frac{1}{4} f(x)=x4–x2+41 এবং g(x)=x+1 g{\left ( x \right )} = \sqrt{x + 1} g(x)=x+1 হলে fog(x) = কত?
f∘g(x)=f( g(x)) f \circ g(\mathrm{x})=f(\mathrm{~g}(\mathrm{x})) f∘g(x)=f( g(x))
={g(x)}4−{g(x)}2+14=(x+1)2−x−1+14=x2+2x+1−x−1+14=x2+x+14=x2+2⋅x12+(12)2=(x+12)2 \begin{array}{l} =\{g(x)\}^{4}-\{g(x)\}^{2}+\frac{1}{4} \\ =(x+1)^{2}-x-1+\frac{1}{4} \\ =x^{2}+2 x+1-x-1+\frac{1}{4} \\ =x^{2}+x+\frac{1}{4} \\ =x^{2}+2 \cdot x \frac{1}{2}+\left(\frac{1}{2}\right)^{2} \\ =\left(x+\frac{1}{2}\right)^{2} \end{array} ={g(x)}4−{g(x)}2+41=(x+1)2−x−1+41=x2+2x+1−x−1+41=x2+x+41=x2+2⋅x21+(21)2=(x+21)2
If AAA and BBB have nnn elements in common, then the number of elements common to A×BA\times BA×B and B×AB\times AB×A is
Let f(x)=2−∣x−3∣,1≤x≤5f(x)=2-|x-3|, 1 \le x \le 5f(x)=2−∣x−3∣,1≤x≤5 and for rest of the values f(x)f(x)f(x) can be obtained by using the relation f(5x)=α f(x)∀ x∈Rf(5x)=\alpha\, f(x)\forall\, x \in Rf(5x)=αf(x)∀x∈R.The value of f(2007)f(2007)f(2007) taking α=5\alpha = 5α=5, is:
f(x)=3x ফাংশনটির-
নিচের কোনটি সঠিক?
f(x)= 3x- 6 ফাংশনের বিপরীত ফাংশন কোনটি?
