Chapter 2: Q63. (page 74)

Find each value if $f (x) = 3 x - 4$
63. $f (\frac{1}{2})$

Short Answer

Expert verified

The required solution is $f (\frac{1}{2}) = - \frac{5}{2}$ .

Step by step solution

– State the concept

The value of $f (a)$ is given by putting $x = a$ in the expression for $f (x)$ .

– List the given data

The given function is $f (x) = 3 x - 4$ and the objective is to find $f (\frac{1}{2})$ .

– Compute the required value

Put $x = \frac{1}{2}$ in $f (x) = 3 x - 4$ to get,

$\begin{matrix} f (\frac{1}{2}) = 3 (\frac{1}{2}) - 4 \\ = \frac{3}{2} - 4 \\ = \frac{3 - 8}{2} \\ = - \frac{5}{2} \end{matrix}$

So, $f (\frac{1}{2}) = - \frac{5}{2}$ .

This is the required solution.

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Find each value if $f (x) = 3 x - 4$
63. $f (\frac{1}{2})$

Short Answer

Step by step solution

– State the concept

– List the given data

– Compute the required value

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Find each value if $f (x) = 3 x - 4$
63. $f (\frac{1}{2})$