What is the inverse and restricted domain of the equation 8x^2-3

Step-by-step explanation:

y = 8x² - 3            (Restriction: none -  x is All Real Numbers)

The inverse is when you swap the x's and y's and then solve for y

x = 8y² - 3            swapped the x and y

x + 3 = 8y²           added 3 to both sides

          divided both sides by 8

          square rooted both sides

          simplified

          rationalized the denominator

          simplified

          simplified

Restriction:

The radical (inside the square root sign) cannot be negative

→  2(x + 3) ≥ 0

      x + 3 ≥ 0         divided both sides by 2

      x       ≥ -3         subtracted 3 from both sides

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb