Answer
a. $f(10)=12$
b. $x=4$
c. Domain:- $(-\infty,\infty)$. Range:- $(-\infty,\infty)$.
Work Step by Step
The given function is
$f(x)=2x-8$
a.
Substitute $x=10$ into the function.
$\Rightarrow f(10)=2(10)-8$
Clear the parentheses.
$\Rightarrow f(10)=20-8$
Subtract.
$\Rightarrow f(10)=12$.
b.
Substitute $f(x)=0$ into the function.
$\Rightarrow 0=2x-8$
Add $8$ to both sides.
$\Rightarrow 0+8=2x-8+8$
Simplify.
$\Rightarrow 8=2x$
Divide both sides by $2$.
$\Rightarrow \frac{8}{2}=\frac{2x}{2}$
Simplify.
$\Rightarrow 4=x$.
c.
This is a linear function.
Hence, all real number inputs will result in real number outputs.
The domain is $(-\infty,\infty)$.
and the range is $(-\infty,\infty)$.
