bellabraden99 bellabraden99
  • 14-02-2017
  • Mathematics
contestada

The inverse of the function f(x) = 1/2x + 10 is shown.

h(x) = 2x –

What is the missing value?

Respuesta :

athleticflores athleticflores
  • 15-02-2017

the answer is f(x)= 2(x-10)  which you are able to simplify to

2x-20

Answer Link
carlos2112
carlos2112 carlos2112
  • 30-03-2020

Answer:

[tex]20[/tex]

Step-by-step explanation:

In order to find the inverse of a function, just follow the next steps:

Step 1: Write y=f(x):

[tex]y=\frac{1}{2} x +10[/tex]

Step 2: Isolate x:

[tex]y-10=\frac{1}{2} x\\\\2y-20=x[/tex]

Step 3: Replace every x with a y and replace every y with an x:

[tex]2x-20=y[/tex]

Hence:

[tex]f^{-1} (x)=h(x)=2x-20[/tex]

We can conclude from the previous result that the missing value is 20

Answer Link

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