Question 13 MarksIf $f(x)=\frac{x^2-5 x+6}{x-2}, x \in Z-\{2\}$ and $g(x)=x-3, x \in Z-\{2\}$, verify whether the functions are equal..View full question & answer→
Question 23 MarksIf $f(x)=3 x^2-4 x+36$, for which value of $x, f(3 x)=3 f(x)$ ?Answer$f=g$View full question & answer→
Question 33 MarksIf $g(x)=\frac{x^2-9}{x-3}, x \in Z-\{3\}$, prove that $g(1)-g(0)+g(2)=6$.AnswerFor $x=\pm 2$View full question & answer→
Question 43 MarksFind the value of $f(x+1)-f(x)$, if $f: N \rightarrow 7, f(x)=3 x-x^2, x \in N$.Answer$-2(x-1)$View full question & answer→
Question 53 MarksIf $f: R \rightarrow R , f(x)=x^2+5 x-6$, State the type of the function $f$.AnswerMany-oneView full question & answer→
Question 63 MarksFind $f(-x)+f(x)$ for $f(x)=x+\frac{1}{x+1}$.Answer$\frac{2}{1-x^2}$View full question & answer→
Question 73 MarksIf $f(x)=5 x-900, x \in R$, find $f(x)$ for $x=500$. Moreover, for which value of $x, f(x)=10$ ?Answer$f(x)=1600, x=182$View full question & answer→
Question 83 MarksIf $R _g=\{3,8,13,18\}$ for a function $g: A \rightarrow B , g(x)=5 x-7$, obtain $D _{z^{-}}$Answer$D _g=\{2,3,4,5\}$View full question & answer→
Question 93 MarksState the domain, co-domain and range for $f: A \rightarrow B , A =\{x \mid-1 \leq x \leq 3, x \in N \cup\{0\}\}$, $B =\{x \mid x \in Z,-10AnswerDomain $= D _f=\{0,1,2,3\}$ Co-domain $=\{-9,-8, \ldots, 0, \ldots, 33,34\}$ \text { Range }= R _f=\{-2,3,14,31\}View full question & answer→
Question 103 MarksIf $f(x)=x^4+4^x-x^3-3^x$, find the value of $2 f(3)-3 f(2)$.Answer$137$View full question & answer→
Question 113 Marks$f: A \rightarrow Z , f(x)=2 x-1$ and $g: A \rightarrow Z , g(x)=x^2-1$ and $A =\{0,2\}$. Are $f$ and $g$ equal functions ?AnswerYesView full question & answer→