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

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

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pierinagiusiano pierinagiusiano · Answer 2 · 2019-10-21T19:26:22+02:00

Answer:

1. [tex]x=5, f(x)=0[/tex], [tex]f(5)=0[/tex]

2. [tex]x=0, f(x)=2.5[/tex], [tex]f(0)=2.5[/tex]

Step-by-step explanation:

We have the expression: [tex]f(x)=-0.5x+2.5[/tex]

First we are going to calculate [tex]f(x)=0[/tex] this is:

[tex]f(x)=0\\-0.5x+2.5=0[/tex]

We can subtract 2.5 from both sides of the equation,

[tex]-0.5x+2.5=0\\-0.5x+2.5-2.5=-2.5\\-0.5x=-2.5[/tex]

Now, divide both sides in (-0.5),

[tex]-0.5x=-2.5\\\\\frac{-0.5x}{-0.5}=\frac{-2.5}{-0.5}\\\\x=5[/tex]

This means that for

[tex]x=5, f(x)=0[/tex]

or you can rewrite it as:

[tex]f(5)=0[/tex]

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

[tex]f(x)=-0.5x+2.5\\f(0)=-0.5(0)+2.5\\f(0)=0+2.5\\f(0)=2.5[/tex]

[tex]x=0, f(x)=2.5[/tex]

or rewrite it as

[tex]f(0)=2.5[/tex]