3. Functions

Find the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. A(-6, 3), B(-6,8)

Graph both equations in the same rectangular coordinate system and find all points of intersection. Then show that these ordered pairs satisfy the equations. x² + y² = 16, x-y = 4

Graph both equations in the same rectangular coordinate system and find all points of intersection. Then show that these ordered pairs satisfy the equations. (x − 2)²+(y+3)² = 4, y = x - 3

Find the midpoint of each line segment with the given endpoints. (-7/2, 3/2) and (-5/2, -11/2)

Find the domain of each function. $f\left(x\right)=x/(x^2+4x-21)$

Find f + g, f - g, fg, and f/g. f(x) = x² + x + 1, g(x) = x² -1

Find a. (f ○ g)(x); b. the domain of (f ○ g). f(x) = (x + 1)/(x - 2), g(x) = 1/x

Find the domain of each function. f(x) = 1/(x²+1) - 1/(x²-1)

Find the domain of each function. h(x) = 4/(3/x - 1)

Find a. (fog) (x) b. (go f) (x) c. (fog) (2) d. (go f) (2).

f(x) = 2x-3, g(x) = (x+3)/2

Find a. (fog) (x) b. (go f) (x) c. (fog) (2) d. (go f) (2).

f(x) = 1/x, g(x)= 1/x

Find a. (fog) (x) b. the domain of f o g.

f(x) = √x, g(x) = x − 2

Find a. (fog) (x) b. the domain of f o g.

f(x) = x² + 4, g(x) = √(1 − x)

Use the graphs of f and g to evaluate each composite function.

(go f) (0)

Find ƒ+g and determine the domain for each function. f(x) = x -5, g(x) = 3x²