Using translation concepts, the inequality that represents the graph is given as follows:
f(x) > sqrt(1 - x)
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent square root function is given by:
y = sqrt(x)
It increases to right starting at x = 0, and in this problem it increases to left starting at x = 1, meaning that it was reflected over the y-axis and shifted right one unit, hence the function is:
sqrt(1 - x)
The part graphed is the values above the function, that is, the values that are greater, as the line is only dashed, hence the inequality is:
f(x) > sqrt(1 - x)
More can be learned about translation concepts at https://brainly.com/question/28098112
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