Lillettucee Lillettucee
  • 23-04-2024
  • Mathematics
contestada

What is the inverse of the function f(x) = 2x-10?
1.h(x)=2x-5
2.h(x)=2x+5
3.h(x)=x-5
4.h(x)
=1/2x+5

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-04-2024

Answer:

  4. h(x) = 1/2x +5

Step-by-step explanation:

You want the inverse of the function f(x) = 2x -10.

Inverse function

To find the inverse function, swap x and y and solve for y.

  y = 2x -10 . . . . function

  x = 2y -10 . . . . inverse relation

  x +10 = 2y . . . . add 10

  1/2x +5 = y . . . . multiply by 1/2

The inverse function is h(x) = 1/2x +5, matching choice 4.

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