jadin70 jadin70
  • 31-08-2021
  • Mathematics
contestada

Find the inverse of the following

F(x) = 1/2x-1

Respuesta :

AlgebraicAardvark
AlgebraicAardvark AlgebraicAardvark
  • 31-08-2021
Step 1: Set it to be “y=“
y=1/2 x - 1

Step 2: Swap x and y:
x = 1/2 y - 1

Step 3: solve for y by adding 1 and then multiplying by 2:
x + 1 = 1/2 y
2(x+1) = y
2x+2 = y

Step 4: flip it so it’s y= and then put in inverse function notation:
y = 2x + 2

f^-1 (x) = 2x+2

It’s always this same process. The only difference is step 3, on how you might solve your specific equation for y.
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