What is the inverse of the function f(x) = 2x + 1? h(x) = 1/2x - 1/2

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

3 0

Answer:

h(x) = x/2 - 1/2

Step-by-step explanation:

Here's the procedure for finding the inverse function algebraically:

1. Replace the label 'f(x)' with the label 'y:' y = 2x + 1

2. Interchange x and y: x = 2y + 1

3. Solve the resulting equation for y: 2y = x - 1, or y = (1/2)(x - 1) or y = x/2 - 1/2

This result corresponds to the 1st given possible answer choice.

The desired inverse function is h(x) = x/2 - 1/2

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