Question

If f(x) = -0.5x + 2.5 what is f(x) = 0 and what is f(0) ?

Answer 1

Answer:

1. $x=5, f(x)=0$, $f(5)=0$

2. $x=0, f(x)=2.5$, $f(0)=2.5$

Step-by-step explanation:

We have the expression: $f(x)=-0.5x+2.5$

First we are going to calculate $f(x)=0$ this is:

$f(x)=0\\-0.5x+2.5=0$

We can subtract 2.5 from both sides of the equation,

$-0.5x+2.5=0\\-0.5x+2.5-2.5=-2.5\\-0.5x=-2.5$

Now, divide both sides in (-0.5),

$-0.5x=-2.5\\\\\frac{-0.5x}{-0.5}=\frac{-2.5}{-0.5}\\\\x=5$

This means that for

$x=5, f(x)=0$

or you can rewrite it as:

$f(5)=0$

Now we have to calculate $f(0)$, this means that we have to replace $f(x)$ with $x=0$. This is:

$f(x)=-0.5x+2.5\\f(0)=-0.5(0)+2.5\\f(0)=0+2.5\\f(0)=2.5$

$x=0, f(x)=2.5$

or rewrite it as

$f(0)=2.5$

Answer 2

A) To find x for f(x) = 0, substitute the given information and solve for x.
.. f(x) = 0 = -0.5x +2.5
.. 0.5x = 2.5 . . . . . . . . . . add 0.5x
.. x = 2.5/0.5 = 5 . . . . . . divide by the coefficient of x

f(5) = -0.5*5 +2.5 = 0


b) f(0) = -0.5*0 +2.5 = 2.5