Q63. - Algebra 2

Question

Find each value if $\mathbf{f}\left(\mathbf{x}\right)=\mathbf{3}\mathbf{x}-\mathbf{4}$

63. $\mathbf{f}\left(\frac{\mathbf{1}}{\mathbf{2}}\right)$

Step-by-Step Solution

Answer

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

Step 1 – State the concept

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

Step 2 – List the given data

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

Step 3 – Compute the required value

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

 $\begin{array}{c}f\left(\frac{1}{2}\right)=3\left(\frac{1}{2}\right)-4\\ =\frac{3}{2}-4\\ =\frac{3-8}{2}\\ =-\frac{5}{2}\end{array}$

 

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

 

This is the required solution.