ফাংশন ও ফাংশনের লেখচিত্র
f(x3-3)=x-2
f(x)= কত ?
x−23 \sqrt[3]{x - 2} 3x−2
x3+x-5
x+33 \sqrt[3]{x + 3} 3x+3
x+33−2 \sqrt[3]{x + 3} - 2 3x+3−2
x3−3=y x^{3}-3=y x3−3=y হলে x=y+33 x=\sqrt[3]{y+3} x=3y+3
∴f(y)=y+33−2∴f(x)=x+33−2 \begin{array}{l} \therefore f(y)=\sqrt[3]{y+3}-2 \\ \therefore f(x)=\sqrt[3]{x+3}-2 \end{array} ∴f(y)=3y+3−2∴f(x)=3x+3−2
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- 6 ফাংশনের বিপরীত ফাংশন কোনটি?
If g(f(x))=∣sinx∣g(f(x))= |\sin x|g(f(x))=∣sinx∣ and g(f(x))=sin2x,g(f(x))= \sin ^2 \sqrt{x},g(f(x))=sin2x, then-
