Inverse of Function and Binary Operation
Sets, Relation and Function

117148 A binary operation \(o\) is defined on the set of integers \(I\) by poq \(=3 p^2+2 q^2-5 p q\) If aol \(=1\), then \(a\) is equal to

1 -1
2 1
3 -2
4 none of these.
Sets, Relation and Function

117149 If \(f(x)=\frac{2 x-1}{x+5}(x \neq-5)\), then \(f^{-1}(x)\) is equal to:

1 \(\frac{x+5}{2 x-1}, x \neq \frac{1}{2}\)
2 \(\frac{5 x+1}{2-x}, x \neq 2\)
3 \(\frac{x-5}{2 x+1}, x \neq \frac{1}{2}\)
4 \(\frac{5 x-1}{2-x}, x \neq 2\)
Sets, Relation and Function

117152 If \(f(x)=\left(4-(x-7)^3\right)\), then \(f^{-1}(x)=\)

1 \(x\)
2 \(4^{1 / 3}-(x-7)\)
3 \(7+(4-x)^{1 / 3}\)
4 \(7-(4-x)^{1 / 3}\)
Sets, Relation and Function

117153 Let * be a binary operation on the set \(Q^{+}\)of all +ve rational numbers defined by \(a * b=\frac{a b}{100}\) for all \(a, b \in Q^{+}\). The inverse of 0.1 under operation * is

1 \(10^5\)
2 \(10^6\)
3 \(10^4\)
4 None of these
Sets, Relation and Function

117148 A binary operation \(o\) is defined on the set of integers \(I\) by poq \(=3 p^2+2 q^2-5 p q\) If aol \(=1\), then \(a\) is equal to

1 -1
2 1
3 -2
4 none of these.
Sets, Relation and Function

117149 If \(f(x)=\frac{2 x-1}{x+5}(x \neq-5)\), then \(f^{-1}(x)\) is equal to:

1 \(\frac{x+5}{2 x-1}, x \neq \frac{1}{2}\)
2 \(\frac{5 x+1}{2-x}, x \neq 2\)
3 \(\frac{x-5}{2 x+1}, x \neq \frac{1}{2}\)
4 \(\frac{5 x-1}{2-x}, x \neq 2\)
Sets, Relation and Function

117152 If \(f(x)=\left(4-(x-7)^3\right)\), then \(f^{-1}(x)=\)

1 \(x\)
2 \(4^{1 / 3}-(x-7)\)
3 \(7+(4-x)^{1 / 3}\)
4 \(7-(4-x)^{1 / 3}\)
Sets, Relation and Function

117153 Let * be a binary operation on the set \(Q^{+}\)of all +ve rational numbers defined by \(a * b=\frac{a b}{100}\) for all \(a, b \in Q^{+}\). The inverse of 0.1 under operation * is

1 \(10^5\)
2 \(10^6\)
3 \(10^4\)
4 None of these
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Sets, Relation and Function

117148 A binary operation \(o\) is defined on the set of integers \(I\) by poq \(=3 p^2+2 q^2-5 p q\) If aol \(=1\), then \(a\) is equal to

1 -1
2 1
3 -2
4 none of these.
Sets, Relation and Function

117149 If \(f(x)=\frac{2 x-1}{x+5}(x \neq-5)\), then \(f^{-1}(x)\) is equal to:

1 \(\frac{x+5}{2 x-1}, x \neq \frac{1}{2}\)
2 \(\frac{5 x+1}{2-x}, x \neq 2\)
3 \(\frac{x-5}{2 x+1}, x \neq \frac{1}{2}\)
4 \(\frac{5 x-1}{2-x}, x \neq 2\)
Sets, Relation and Function

117152 If \(f(x)=\left(4-(x-7)^3\right)\), then \(f^{-1}(x)=\)

1 \(x\)
2 \(4^{1 / 3}-(x-7)\)
3 \(7+(4-x)^{1 / 3}\)
4 \(7-(4-x)^{1 / 3}\)
Sets, Relation and Function

117153 Let * be a binary operation on the set \(Q^{+}\)of all +ve rational numbers defined by \(a * b=\frac{a b}{100}\) for all \(a, b \in Q^{+}\). The inverse of 0.1 under operation * is

1 \(10^5\)
2 \(10^6\)
3 \(10^4\)
4 None of these
Sets, Relation and Function

117148 A binary operation \(o\) is defined on the set of integers \(I\) by poq \(=3 p^2+2 q^2-5 p q\) If aol \(=1\), then \(a\) is equal to

1 -1
2 1
3 -2
4 none of these.
Sets, Relation and Function

117149 If \(f(x)=\frac{2 x-1}{x+5}(x \neq-5)\), then \(f^{-1}(x)\) is equal to:

1 \(\frac{x+5}{2 x-1}, x \neq \frac{1}{2}\)
2 \(\frac{5 x+1}{2-x}, x \neq 2\)
3 \(\frac{x-5}{2 x+1}, x \neq \frac{1}{2}\)
4 \(\frac{5 x-1}{2-x}, x \neq 2\)
Sets, Relation and Function

117152 If \(f(x)=\left(4-(x-7)^3\right)\), then \(f^{-1}(x)=\)

1 \(x\)
2 \(4^{1 / 3}-(x-7)\)
3 \(7+(4-x)^{1 / 3}\)
4 \(7-(4-x)^{1 / 3}\)
Sets, Relation and Function

117153 Let * be a binary operation on the set \(Q^{+}\)of all +ve rational numbers defined by \(a * b=\frac{a b}{100}\) for all \(a, b \in Q^{+}\). The inverse of 0.1 under operation * is

1 \(10^5\)
2 \(10^6\)
3 \(10^4\)
4 None of these