Answer :

Answer:

x=-2/3

Step-by-step explanation:

f(x)=9×2/3x+4

0=9×2/3x+4(substitute f (x) =0)

0=9×2/3x+4

0=3×2x+4

0=6x+4

-6x=4( move the variable to left side and change the sign)

Divide both sides.. x=-2/3

The initial value of the function f(x) = [tex]\frac{-2}{3}[/tex]

We have a function f(x) = [tex]9(\frac{2}{3} )x +4[/tex]

We have to find the initial value of the function f(x).

How will you calculate the initial value of a function f(x) ?

We can calculate the initial value of a function f(x) by equating the function f(x) = 0, and find the value of [tex]x[/tex].

In the question given - f(x) = [tex]9(\frac{2}{3} )x +4[/tex]. In order to calculate the initial value of this function - equate f(x) = 0. Therefore -

[tex]9(\frac{2}{3} )x +4 =0\\[/tex]

6x + 4 = 0

x = [tex]\frac{-4}{6}[/tex]

x = [tex]\frac{-2}{3}[/tex]

Hence, the initial value of the function f(x) = [tex]\frac{-2}{3}[/tex]

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