grayisaac87 grayisaac87
  • 26-02-2021
  • Mathematics
contestada

Write the inverse function for the function, ƒ(x) =x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

Respuesta :

angji angji
  • 26-02-2021

Answer:

inverse of f(x)= x+4 is

[tex]f - 1(x) = x - 4[/tex]

f-1(4)= 0

Step-by-step explanation:

replace f-1(x) by y:

[tex]y = x + 4[/tex]

then, rearrange the equation to make x the subject.

[tex]x = y - 4[/tex]

now change the y to x, and the x at the beginning to f-1(x). you get:

[tex]f - 1(x) = x - 4[/tex]

which is the answer.

for the second part, simply replace the x in equation that we got above to get:

[tex]f - 1(x) = 4 - 4[/tex]

so, f-1(4) = 0

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