Math

QuestionWhat is the domain restriction for the equation y=axd+cy=-a \sqrt{x-d}+c?

Studdy Solution

STEP 1

Assumptions1. The function is y=axd+cy=-a \sqrt{x-d}+c . The domain of a function is the set of all possible input values (x-values) which will produce a valid output from a particular function.

STEP 2

We need to find the domain of the function y=axd+cy=-a \sqrt{x-d}+c. The domain of a square root function will be all x-values that make the expression inside the square root non-negative (greater than or equal to zero).

STEP 3

Set the expression inside the square root greater than or equal to zero.
xd0x-d \geq0

STEP 4

To isolate x, add d to both sides of the inequality.
xdx \geq d

STEP 5

So, the domain of the function y=axd+cy=-a \sqrt{x-d}+c is all x such that xdx \geq d.
The solution is xdx \geq d.

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