Composition Function
Sets, Relation and Function

117232 If \(f(x)=\frac{3 x+4}{5 x-7}, x \neq \frac{7}{5}\) and \(g(x)=\frac{7 x+4}{5 x-3}\), \(x \neq \frac{3}{5}\) then (gof) \((3)=\)

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

117233 If \(f: R \rightarrow R, g: R \rightarrow R\) defined by \(f(x)=x^2-3 x+4\) and \(g(x)=2 x+1\), then the value of \(x\) for which \(f(x)=(f \circ g)(x)\) is

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

117234 If \(f(x)=\left(a-x^n\right)^{1 / n}\), where \(a>0\) and \(n \in N\), then fof \((x)\) is equal to :

1 \(\mathrm{a}\)
2 \(x\)
3 \(x^n\)
4 \(a^n\)
Sets, Relation and Function

117237 If \(f(x)=3 x-2\) and \(g(x)=x^2\), then fog \((x)=\)

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

117232 If \(f(x)=\frac{3 x+4}{5 x-7}, x \neq \frac{7}{5}\) and \(g(x)=\frac{7 x+4}{5 x-3}\), \(x \neq \frac{3}{5}\) then (gof) \((3)=\)

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

117233 If \(f: R \rightarrow R, g: R \rightarrow R\) defined by \(f(x)=x^2-3 x+4\) and \(g(x)=2 x+1\), then the value of \(x\) for which \(f(x)=(f \circ g)(x)\) is

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

117234 If \(f(x)=\left(a-x^n\right)^{1 / n}\), where \(a>0\) and \(n \in N\), then fof \((x)\) is equal to :

1 \(\mathrm{a}\)
2 \(x\)
3 \(x^n\)
4 \(a^n\)
Sets, Relation and Function

117237 If \(f(x)=3 x-2\) and \(g(x)=x^2\), then fog \((x)=\)

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

117232 If \(f(x)=\frac{3 x+4}{5 x-7}, x \neq \frac{7}{5}\) and \(g(x)=\frac{7 x+4}{5 x-3}\), \(x \neq \frac{3}{5}\) then (gof) \((3)=\)

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

117233 If \(f: R \rightarrow R, g: R \rightarrow R\) defined by \(f(x)=x^2-3 x+4\) and \(g(x)=2 x+1\), then the value of \(x\) for which \(f(x)=(f \circ g)(x)\) is

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

117234 If \(f(x)=\left(a-x^n\right)^{1 / n}\), where \(a>0\) and \(n \in N\), then fof \((x)\) is equal to :

1 \(\mathrm{a}\)
2 \(x\)
3 \(x^n\)
4 \(a^n\)
Sets, Relation and Function

117237 If \(f(x)=3 x-2\) and \(g(x)=x^2\), then fog \((x)=\)

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

117232 If \(f(x)=\frac{3 x+4}{5 x-7}, x \neq \frac{7}{5}\) and \(g(x)=\frac{7 x+4}{5 x-3}\), \(x \neq \frac{3}{5}\) then (gof) \((3)=\)

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

117233 If \(f: R \rightarrow R, g: R \rightarrow R\) defined by \(f(x)=x^2-3 x+4\) and \(g(x)=2 x+1\), then the value of \(x\) for which \(f(x)=(f \circ g)(x)\) is

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

117234 If \(f(x)=\left(a-x^n\right)^{1 / n}\), where \(a>0\) and \(n \in N\), then fof \((x)\) is equal to :

1 \(\mathrm{a}\)
2 \(x\)
3 \(x^n\)
4 \(a^n\)
Sets, Relation and Function

117237 If \(f(x)=3 x-2\) and \(g(x)=x^2\), then fog \((x)=\)

1 \(3 x^2-2\)
2 \(2-3 x^2\)
3 \(3 x-2\)
4 \(3 x^2+2\)