Calculus Quiz 1 1/28/15

what's f(g(x))?

-3

If f(x) = x3 - 2x - l , then/(-2) =

-5

if f (x) = x^3 - 3x^2 -2x + 5 and g(x)=2, then g(f(x)) =

2

25. the smallest positive x for which the function f9x) = sin ( x/3) -1 is a maximum is

3pie/2

If f(x) = x^3 + Ax^2 + Bx-3 and if f(1)+4 and f(-1)=-6, what is the value of 2A+B?

8

The domain of f(x)= x-1 / x^2 +1 is

all reals

27. if f^-1 (x) is the inverse of f(x)= 2e^-x, then f^-1 (x) =

ln (2/x)

23. if the domain of f is restricted to the open interval ( - pie/2, pie/2) then the range of f(x)= e^tan x is

the set of positive reals

16. Let f(x) have an inverse function g(x) then f(g(x)) =

x

The domain of g(x) = squareroot of x-2/ x^2 -x

x < or equal to 2

19. the range of y= f(x) = ln (cos x) is

y l -infinity< y < or equal to 0

24. which of the following is a reflection of the graph of y=f(x) in the x-axis?

y= -f(x)

Which of the following equations has a graph that is symmetric with respect to the origin?

y= x-1/ x

28. which of the following functions does not have an inverse function?

y= x/ x^2 =1