The function ƒ(x) = x2 is not one-to-one. find a portion of the domain where the function is one-to-one and find an inverse function.

A function is one-to-one if every f(x) value corresponds with only one x value of the domain of the function. Therefore, f(x) = x^2 is only one-to-one between 0 and infinity. The inverse of the quadratic function is the square root function. Graphically, the inverse can be obtained reflecting f(x) with respect a line which equation is y = x (see figure attached).

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.