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|

Determine whether each relation defines a function, and give the domain and range.

Determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these.

$y^3=x+4$

In Exercises 31–50, find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)

Express the given function h as a composition of two functions ƒ and g so that h(x) = (fog) (x). h(x) = ∛(x² – 9)

Find the value of the function for the given value of x. ƒ(x)=[[x/4]], for x=7

In Exercises 31–50, find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)

Give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. (x+3)² + (y - 2)² = 4

Find the domain of each function. h(x) = √(x −2)+ √(x +3)

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 each equation.

$x-4y=8$

Determine whether each function is even, odd, or neither. ƒ(x)=x⁵-2x³

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

Find the value of the function for the given value of x. ƒ(x)=[[x]], for x=-√2

Fill in the blank(s) to correctly complete each sentence. The circle with equation $x^2+y^2=49$ has center with coordinates________ and radius equal to__________ .