Question

Find the inverse of the function. y= x–7 Write your answer in the form a(bx+c)2+d, where a, b, c, and d are constants. Enter the domain of the inverse in the form: x≤# or x≥#. Simplify any fractions. y= , x

Answer 1

Assuming the original function is y = √(x − 7):

Swap x and y and solve:
x = √(y − 7)
x^2 = y − 7
y = x^2 + 7

So the inverse is y = 1(1x+0)^2 + 7, i.e. y = x^2 + 7.
Domain of the inverse: x ≥ 0.