Evaluate the expression $\left|f+g\right|-h$ for$f=3,g=-4$ and $h=5$ .

Variables: - In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

In $\left|f+g\right|-h$, f, g and h are variables.

Constants: - In any expression or equation, the constants are the values that are fixed.

While performing addition in an equation, the same kind of elements or like terms are added together.

Absolute value: - Absolute value of any quantity simply means the positive value of that quantity.

Example: -

Consider a variable x. Here, x can be both positive or negative but $\left|x\right|$will always be positive and hence the absolute value.

Given $\left|f+g\right|-h$where $f=3,g=-4$and $h=5$.

Put $f=3,g=-4$and $h=5$in $\left|f+g\right|-h$.

role="math" localid="1642197406072" $\begin{array}{c}\left|f+g\right|-h=\left|3+\left(-4\right)\right|-5\\ =\left|3-4\right|-5\\ =\left|-1\right|-5\end{array}$

Since $\left|-1\right|$will always give a positive value. So,

role="math" localid="1642197469330" $\begin{array}{c}\left|-1\right|-5=1-5\\ =-4\end{array}$

Hence, the value of $\left|f+g\right|-h$for $f=3,g=-4$and $h=5$is $-4$.