Q52. - Algebra 2

Question

Find the value of $f\left(x\right)=-3x+2$ when $x=2$.

Step-by-Step Solution

Answer

The value of $f\left(x\right)=-3x+2$ when $x=2 is -4$.

Step 1 – Order of operations.

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2 – Substitute the given value in the given function.

Substitute $x=2$ in the function $f\left(x\right)$.

 $f\left(2\right)=-3\left(2\right)+2$

Step 3 – Calculate the value by simplification.

$\begin{array}{l}f\left(2\right)=-3\left(2\right)+2\\ f\left(2\right)=-6+2\\ f\left(2\right)=-4\end{array}$

Thus, the value of $f\left(x\right)=-3x+2$ when $x=2 is -4$.