Show:
Domains
x and y Intercepts
Asymptote
Inverse
Composition
100
Find the domain of the function f(x) = |x+3|
What is All Reals
100
Find the x and y intercepts: x – 6y = 2
What is x-intercept: 2 y-intercept: -1/3
100
Find the asymptotes: y= (x+7)/(x^2 + 3)
What is There are no asymptotes
100
Find the inverse of: y = 4x + 12
What is y = (x/4) - 3
100
Using f(x)=x-2 and g(x)=5x+3 to find f(g(2))
What is 11
200
Find the domain of the function f(x) = x^2 + 3
What is All Reals
200
Find the x and y intercepts: 5x + y = -1
What is x-intercept: -1/5 y-intercept: -1
200
Find the asymptotes: y = (x+1)/ (x^2 - 1)
What is x=1
200
Find the inverse of: y = (1/2)x + 7
What is y = 2x - 14
200
Using f(x)=x-2 and g(x)=5x+3 to find g(f(-4))
What is -27
300
Find the domain of the function f(x) = sqr(x^2 -5)
What is (-infinity, -2) U (2, infinity)
300
Find the x and y intercepts: y = -3x + 9
What is x-intercept: 3 y-intercept: 9
300
Find the asymptotes: y = [x^2 - x - 2] / [x - 2]
What is x=2
300
Find the inverse of: y = 8x - 16
What is y = (x/8) - 2
300
Using f(x)=x-2 and g(x)=5x+3 to find f(f(1))
What is -3
400
Find the domain of the function f(x) = (x+2)/(x^2 - 9)
What is All Reals except x= 3, -3
400
Find the x and y intercepts: 3x-5y=15
What is x-intercept: 5 y-intercept: -3
400
Find the asymptotes: y = (x + 3) / (x^2 + 9)
What is There are no asymptotes
400
Find the inverse of: y = (x+2)^3
What is y = cubert(x) - 2
400
Using f(x)=x-2 and g(x)=5x+3 to find f(g(x))
What is 5x+1
500
Find the domain of the function f(x) = (x+2)/(sqr(x-3))
What is (3, infinity)
500
Find the x and y intercepts: 7x + 4y = 56
What is x-intercept: 8 y-intercept: 14
500
Find the asymptote of: y = [x^2 + 3x + 1] / [4x^2 - 9]
What is x= 3/2, -3/2
500
Find the inverse of: y = (x+3)/x
What is y = 3/(x-1)
500
Using f(x)=x^2 and g(x)=x+1 find f(g(x))
What is x^2 + 2x + 1