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The binary operation * on R is defined

Question:

The binary operation $*$ on $\mathrm{R}$ is defined by $\mathrm{a} * \mathrm{~b}=2 \mathrm{a}+\mathrm{b}$. Find $(2 * 3) * 4$.

 

Solution:

To find: $(2 * 3) * 4$

Given: $a * b=2 a+b$

$\Rightarrow 2 * 3=2 \times 2+3=7$

Now $7 * 4=2 \times 7+4=14+4=18$

$\Rightarrow(2 * 3) * 4=18$

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