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Functions question bank (Mathematics)

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Q1.

If $f(x)=\frac{2 x+3}{3 x-2}, x \neq \frac{2}{3}$ then f of is

(A)

an even function

(B)

not defined for all $x \in R$

(C)

a constant function

(D)

an odd function

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Q2.

If $\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}, g: \mathrm{R} \rightarrow \mathrm{R}$ 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

(A)

$1, \frac{-2}{3}$

(B)

$-1, \frac{2}{3}$

(C)

$1, \frac{2}{3}$

(D)

$-1, \frac{-2}{3}$

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