Answer
a. $f(2)=1.6$
b. $f(-14)=-49.6$
c. $x=-1.625$
d. Domain:- $(-\infty,\infty)$. Range:- $(-\infty,\infty)$.
Work Step by Step
The given function is
$f(x)=3.2x-4.8$
a.
Substitute $x=2$ into the function.
$\Rightarrow f(2)=3.2(2)-4.8$
Clear the parentheses.
$\Rightarrow f(2)=6.4-4.8$
Subtract.
$\Rightarrow f(2)=1.6$.
b.
Substitute $x=-14$ into the function.
$\Rightarrow f(-14)=3.2(-14)-4.8$
Clear the parentheses.
$\Rightarrow f(-14)=-44.8-4.8$
Add like terms.
$\Rightarrow f(-14)=-49.6$.
c.
Substitute $f(x)=-10$ into the function.
$\Rightarrow -10=3.2x-4.8$
Add $4.8$ to both sides.
$\Rightarrow -10+4.8=3.2x-4.8+4.8$
Simplify.
$\Rightarrow -5.2=3.2x$
Divide both sides by $3.2$.
$\Rightarrow \frac{-5.2}{3.2}={3.2x}{3.2}$
Simplify.
$\Rightarrow -1.625=x$.
d.
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 $(-\infty,\infty)$.
