Question

Which function is the inverse of f Superscript negative 1 Baseline (x) = negative one-half x minus three-halves? f Superscript negative 1 Baseline (x) = one-half x minus three-halve

Answer 1

The inverse function of f(x) = one-half x minus three-halves is f^-1(x) = -2x + 3/2.

Step-by-step explanation:

The inverse function of f(x) = one-half x minus three-halves is f⁻-1(x) = negative one-half x minus three-halves. In order to find the inverse function, we need to swap the x and y variables and solve for y. Let's do that:

1. Replace f(x) with y: y = one-half x minus three-halves
2. Swap x and y: x = one-half y minus three-halves
3. Solve for y by isolating it:

   y = -2x + 3/2

Therefore, the inverse function of f(x) = one-half x minus three-halves is f⁻-1(x) = -2x + 3/2.

Answer 2

The answer is f-1(x)=1/2x-3/2

Step-by-step explanation:

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