Q49. - Algebra 2

Question

Find each value if $f\left(x\right)=4x+3$ and $g\left(x\right)=5x-7$.

 

 $49.f\left(-2\right)$

Step-by-Step Solution

Answer

The value of the expression $f\left(-2\right)$ is $-5$.

Step-1 – Apply the concept of evaluating a function

To evaluate the function, take the original function, substitute the value in place of variable and simplify the expression.

Step-2 –Evaluate the expression.

Consider the expression $f\left(x\right)=4x+3$. 

The objective is to find the value of $f\left(-2\right)$.

Substitute x as $-2$ in the function $f\left(x\right)=4x+3$

$f\left(-2\right)=4\left(-2\right)+3$

Step-3 – Simplify the expression

Multiply the terms on the right hand side and compute the value.

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

Hence, the value of the expression $f\left(x\right)=4x+3$ when $x=-2$ is $-5$.