A function $f: R^{+} \rightarrow R$ (where $R^{+}$ is the set of all non-negative real numbers) defined by $f(x)=4 x+3$ is :

Question

YESPYQ · Accepted Answer

Correct answer: a) one-one but not onto. One-One: Let $f\left({x}_{1}\right)=f\left({x}_{2}\right)$. $4{x}_{1}+3=4{x}_{2}+3$ ${x}_{1}={x}_{2}$ Onto: $y=4x+3$ $x=\frac{y-3}{4}$ $x\in [0,\infty )\Rightarrow y\geq 3$ Range $=[3,\infty )\neq R$

A function \(f: R^{+} \rightarrow R\) (where \(R^{+}\) is the set of all non-negative real numbers) defined by \(f(x)=4 …

Practice more Board Maths PYQs