Solve the following equation by completing the square: y² - 8y - 3 = 0

For the line segment bounded by the given endpoints, (3, 9) and (13, 15), find the midpoint.

Solve: fog(x) and also find domain of fog(x) where f(x) = 3x -2; g(x) = √x

Use standard graph of the given function f(x) = |x| to transform it into the following function g(x) =2|4x+3|+3

Graph h(x) = √(2x - 6) as a transformation of the square root function f(x) = √(2x).

For the following function, sketch its graph. g(x) = √(25x)

Given the two functions $f$ and $g$, find $fg$ and identify the domain.

$f\left(x\right)=71x-2$, $g\left(x\right)=x+10$

For the given one-to-one function, find the inverse function, f^-1 (x), and verify that your equation is correct.

 f(x) = x/2

Find (f ○ g)¯¹(x) and (g¯¹ ○ f^-1)(x) if f(x) = 5x and g(x) = x - 7.