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Q.
The function $f$ : $A \to B$ defined by $f(x) = 4x + 7$, $x \in R$ is
Relations and Functions - Part 2
Solution:
We hawe, $f(x) = 4x + 7$, $x \in R$
Let $x_1$, $x_2 \in R$, such that $f(x_1) =f(x_2)$
$\Rightarrow 4x_{1}+7=4x_{2}+7$
$\Rightarrow 4x_{1}=4x_{2}$
$\Rightarrow x_{1}=x_{2}$
So, $f$ is one - one.