Diego
The functions are made:
f(x)= 2x2-2
g(x)= x-2
Find the value of f(g(x))
2x2-8x+6
f(x)= x2+x-12/x2-4x-12
-18/7
Suppose H(x)= (2-6x)5
Find two functions f and g such that (f o g)(x)= H(x)
f(x)= x5
g(x)= 2-6x
suppose f(x)= x2-3/4 and g(x)=√x-3
find (f o g)(x)
x-6/4
Find g(h(x))
g(x)= x-3
h(x)=3x2-2
3x2-5
s(x)= 4x2
t(x)= x-2
Find
(t*s)(x) =
(t+s)(x) =
(t-s)(-3) =
(t*s)(x) = 4x3-8x2
(t+s)(x) = 4x2+x-2
(t-s)(-3) = -41
For the functions f(x)= x/x-3 and g(x)= 11/x find the consumption f o g and simplify your answer as much as possible. write the domain using interval notation
(f o g)(x)= 11/-3x+11
Domain of (f o g)= (-infinite,0) U (0,11/3) U (11/3, infinite)
suppose f(x)=x2-3/2 and g(x)=√x+2
find (f o g)(7)
6/2
Suppose that the functions s and t are defined for all real numbers x as follows.
s(x)= 3x2
t(x)=x-5
(t x s)(x)=?
3x3 - 15x2
h(x)= x-2
g(x)= (x+2)(x-1)
a) Find (h/g)(-5)
b) Find all the values that aren't in the domain of h/g
a) (h/g)(-5)= -7/18
b) -2,1
Suppose that functions h and f are defined as follows
h(x)= 3/x
f(x)= x2-3
Find the compositions h o h. f o f
(h o h)= x
(f o f)= x4-6x2+6
suppose f(x)= x+4/x and g(x)= x-2
find (f o g)(x)
x+2/x-2
Suppose that the functions h and g are defined as follows.
h(x)= x+2
g(x)= (x-5)(x-6)
Find (h/g)(1)
3/20
f(x)= -x-1
g(x)= 2x-3
Find (f(g(-4)) and (g(f(-4))
(f(g(-4))= 3
(g(f(-4))= 10
Suppose H(x)= 6x3+5
Find two functions f and g such that (f o g)= H(x)
f(x)= x+5
g(x)= 6x3
suppose f(x)= -x/2 and g(x)= -2x +3
find (f o g)(-2)
2x-3/2
Suppose the value R(d) of d dollars in euros is given by 8/9 d . The cost P(n) in dollars to purchase and ship n purses is given by P(n)=88n+23. Write a formula for the cost Q(n) in euros to purchase and ship n purses.
8/9 (88n+23)
Suppose h(x)= (4x+3)2
Find 2 functions f and g such that (f o g)(x)= h(x)
f(x)=
g(x)=
For the real-valued functions f(x)= x+4/x+1 and
g(x)=2x-5 find the composition f o g and specify its domain using interval notation
(f o g)(x)= 2x-1/2x-4
domain of f o g= (-infinite,2) U (2, infinite)
suppose f(x) = x-5/x and g(x)= -7x+2
find (f o g)(-5)
35/-7x+2