Let \( * \) be a binary operation on the set \( Q \) of all rationa... VIDEO
Let \( * \) be a binary operation on the set \( Q \) of all rational numbers given as \( a * b=(2 a-b)^{2} \) for all \( a, b \in Q \). Find \( 3 * 5 \) and \( 5 * 3 \). Is \( 3 * 5=5 * 3 \) ?https://bit.ly/YTAI_PWAP https://www.pw.live/
Other Videos By PW Solutions 2023-02-25 Show that the set \( A=\{-1,0,1\} \) is not closed for addition.
P
W 2023-02-25 Let \( Q^{+} \)be the set of all positive rational numbers.
Show th... 2023-02-25 Let \( a * b=\operatorname{lcm}(a, b) \) for all values of \( a, b ... 2023-02-25 Let \( a * b=\operatorname{lcm}(a, b) \) for all values of \( a, b ... 2023-02-25 Let \( f(x)=\sqrt{\log \left(2 x-x^{2}\right)} \). Then, \( \operat... 2023-02-25 Let \( a * b=\operatorname{lcm}(a, b) \) for all values of \( a, b ... 2023-02-25 If \( * \) be the binary operation on the set \( Z \) of all intege... 2023-02-25 Let \( *: R \times R \rightarrow R \) be a binary operation given b... 2023-02-25 Assertion (A): विद्युत्-चुंबकीय स्पेक्ट्रम में, लगभग \( 10^{15} \mathrm{~Hz} \) का छोटा सा भाग द... 2023-02-25 Let \( * \) be a binary operation on the set of all nonzero real nu... 2023-02-25 Let \( * \) be a binary operation on the set \( Q \) of all rationa... 2023-02-25 Assertion (A): Alkaline earth metals are softer than alkali metals.
Reason (R): Atomic radii of ... 2023-02-25 The binary operation \( { }^{*} \) on \( R \) is defined by \( a * ... 2023-02-25 Let \( f(x)=\frac{x^{2}}{\left(1+x^{2}\right)} \cdot \) Then, range... 2023-02-25 Let \( { }^{*} \) be a binary operation on the set I of all integer... 2023-02-25 Let \( f(x)=\log (1-x)+\sqrt{x^{2}}-1 \). Then, \( \operatorname{do... 2023-02-25 Let \( f(x)=x^{2} \). Then, dom \( (f) \) and range \( (f) \) are r... 2023-02-25 Show that the function \( f \) on \( A=R-\left\{\frac{2}{3}\right\}... 2023-02-25 Let \( A=R-\{3\} \) and \( B=R-\{1\} \). Then, \( f: A \rightarrow ... 2023-02-25 Let \( f(x)=\cos ^{-1} 2 x \). Then, \( \operatorname{dom}(f)= \) ?... 2023-02-25 Show that the function \( f \) on \( A=R-\left\{\frac{-4}{3}\right\...
0