3. Functions

Express the given function h as a composition of two functions ƒ and g so that h(x) = (fog) (x).

h(x) = |2x-5|

Use the graphs of f and g to solve Exercises 83–90.

Find (fg) (2).

Use the graphs of f and g to solve Exercises 83–90.

Find(g/f)(3)

Use the graphs of f and g to solve Exercises 83–90.

Graph f-g.

Fill in the blank to correctly complete each sentence. The point (-1, 3) lies in quadrant ________ in the rectangular coordinate system.

Fill in the blank to correctly complete each sentence. The point (4,_____ ) lies on the graph of the equation y = 3x - 6.

Fill in the blank to correctly complete each sentence. The y-intercept of the graph of y = -2x + 6 is ________.

Determine whether each statement is true or false. If false, explain why. The graph of y = x² + 2 has no x-intercepts.

Determine whether each statement is true or false. If false, explain why. The midpoint of the segment joining (0, 0) and (4, 4) is 2.

For the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the mid-point M of line segment PQ. P(-5,-6), Q(7,-1)

For the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the mid-point M of line segment PQ. P(8,2), Q(3,5)

For the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the mid-point M of line segment PQ. P(6,-2), Q(4,6)

Determine whether the three points are the vertices of a right triangle. See Example 3.

$(-2,-8),(0,-4),(-4,-7)$

Determine whether the three points are the vertices of a right triangle. (-4,1),(1,4),(-6,-1)

Determine whether the three points are the vertices of a right triangle. See Example 3.

$(-2,-5),(1,7),(3,15)$