In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. f(r) = √(r + 6) +3 b. f(10)

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

Evaluate each function at the given values of the independent variable and simplify. $f\left(r\right)=\sqrt{r+6}+3$

$\text{a. }f(x-6)$

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

In Exercises 33–34, find and simplify the difference quotient [f(x + h) - f(x)]/h, h =/= 0 for the given function. f(x) = -2x^2 + x + 10

Write the standard form of the equation of the circle with the given center and radius. Center (-1, 4), r = 2

Use the graph of y = f(x) to graph each function g. g(x) = f(x+2)

Find ƒ+g, ƒ- g, ƒg and ƒ/g. Determine the domain for each function. f(x) = 2x² − x − 3, g (x) = x + 1

Find f−g and determine the domain for each function. f(x) = 2x² − x − 3, g (x) = x + 1

Find fg and determine the domain for each function. f(x) = 2x² − x − 3, g (x) = x + 1

Find ƒ/g and determine the domain for each function. f(x) = 2x² − x − 3, g (x) = x + 1

Find $f+g$, $f-g$, $fg$, and $\frac{f}{g}$. Determine the domain for each function.

$f\left(x\right)=6x^2-x-1$, $g\left(x\right)=x-1$

Use the graph of y = f(x) to graph each function g. g(x) = -f(x+2)

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. x-intercept = -1/2 and y-intercept = 4

Write the standard form of the equation of the circle with the given center and radius. Center (−3, −1), r = √3

Find ƒ+g, ƒ- g, ƒg and ƒ/g. Determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15

Find f−g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15

Find fg and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15

Find f/g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15

Find $f+g$, $f-g$, $fg$, and $\frac{f}{g}$. Determine the domain for each function.

$f\left(x\right)=5-x^2$, $g\left(x\right)=x^2+4x-12$

In Exercises 37–40, find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (-1, -2) and (-3, -4)

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. f(x) = |x+3|/|x + 3| a. f(5)

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. f(x) = |x+3|/|x + 3| b. f(-5)

Evaluate each function at the given values of the independent variable and simplify. f(x) = |x+3|/(x + 3) c. f(−9 - x)

Use the graph of y = f(x) to graph each function g. g(x) = -(1/2)f(x+2)

Write the standard form of the equation of the circle with the given center and radius. Center (-4, 0), r = 10

Graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x) = x, g(x) = x + 3

Find ƒ+g and determine the domain for each function. f(x) = √x, g(x) = x − 4

In Exercises 39-52, a. Find an equation for ƒ¯¹(x). b. Graph ƒ and ƒ¯¹(x) in the same rectangular coordinate system. c. Use interval notation to give the domain and the range of f and ƒ¯¹. f(x)=2x-1

Find f−g and determine the domain for each function. f(x) = √x, g(x) = x − 4