Functions
f(x) = 2x+5 a function of x?
Yes
find the domain of f(x) = (x+4)1/2
x+4>=0
x>=-4
If f(x)=x-1 and g(x)=1/(x+1), find the following:
f(g(1/2)) and g(f(1/2))
f(g(1/2))=-1/3
g(f(1/2)=2
Find f(3) if
f(x) =x2-4x+1
f(3) = 9 -12 + 1 = -2
find the domain of f(x) = 1/(x-3)
x!= 3
If f(x)=x+5 and g(x)=x2-3, find the following:
f(g(0)) and g(f(x))
f(g(0))=2
g(f(x))=(x+5)2-3 or x2+10x+22
find the zeros of f(x) = x2 - 9
(x-3)(x+3)=0
x= -3,3
find the range of f(x)=x2+1
x2>=0
y>=1 or [1,∞)
If f(x)=(x-1)/x and (f(g(x))=x/(x+1)
find g(x)
g(x)=x+1