Trigonometry Answers

Graph the given function using the given values of x. Also use the graph to determine the domain and range of the function.

1a. f(x)=x^2+4 ; x = -3, -2, -1, 0, 1, 2, 3

integeration of tan(x)sec2(x)

Let f(x)=|x-5| and g(x)=1/x
Write the given function as a composition function
using f and g.

H(x)=|1/x-(5)|

If f = (1, 2), (2, 3), (3, 4), (4, 5),
g = (1, -2), (3, -3), (5, -5), and
h = (1, 0), (2, 1), (3, 2),
find the following and state the domain:

2a. f + g

2b. f - g

2c. f * g

2d. f / g

2e. g * f * h

Let f(x)=|x-5| and g(x)=1/x
Write the given function as a composition function
using f and g.

H(x)=|(1/x)-5|

If f = (1, 2), (2, 3), (3, 4), (4, 5),
g = (1, -2), (3, -3), (5, -5), and
h = (1, 0), (2, 1), (3, 2),
find the following and state the domain:

2a. ( f + g)

2b. (f - g)

2c. (f * g)

2d. f / h

2e. f * g* h

if f(x)=x^2+3 and g(x)=3x-1
then find the following

1g. (f * g)(x)

1h. (f * g)(1)

1i. (g * f)(x)

if f(x)=x^2+3 and g(x)=3x-1
then find the following

1a. (f+g)(x)

1b. (f+g)(3)

1c. (f-g)(x)

The angle of elevation of the top a rock from the top and foot of a 100m high tower are 30 and 45 degree.Find the height of the rock.

find the slope of the line that is a) parallel and b) perpendicular to the given line
1a) 5x+2y=10

1b) y=-7

1c) x=10

write an equation for the line in point/slope form and slope/intercept form that has the given condition.
2a) passes through (-7,2) and is parallel to 7x+2y=0

2b) passes through (3,-1) and is perpendicular to y=2x-3