Q50. - Algebra 2

Question

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

$50.g\left(-1\right)$

Step-by-Step Solution

Answer

The value of the expression $g\left(-1\right)$ is $-12$.

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 $g\left(x\right)=5x-7$. 

The objective is to find the value of $g\left(-1\right)$.

Substitute x as $-1$ in the function $g\left(x\right)=5x-7$

$g\left(-1\right)=5\left(-1\right)-7$

Step-3 – Simplify the expression

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

$\begin{array}{l}g\left(-1\right)=5\left(-1\right)-7\\ =-5-7\\ =-12\end{array}$

Hence, the value of the expression $g\left(x\right)=5x-7$ when $x=-1$ is $-12$.