Evaluate Functions
Evaluate the following function:
f(5) = X2 + 3X - 25
15
Evaluate and elaborate the compound functions:
h(x)=4
g(x)= 1 + SQRT(X)
g(h(x)) =
3
Decompose the following function in f and g.
A(X) = 9 / ( x-6 )
f(x) or g(x) = X - 6
g(x) or f(x) = 9 / X
Find the inverse function of:
f(x) = 2x + 8
We can solve negative square roots
FALSE.
Negative square roots are undetermined result
Evaluate the following function:
f(5) = 3X+12
27
Evaluate and elaborate the compound functions:
a(x) = 3X +12
b(x) = X2
b(a(X)) =
(3X + 12)2
Decompose the following function in f and g.
B(X) = (2x-1)2
f(x) or g(x) = X2
g(x) or f(x) = 2X - 1
Find the inverse function of:
f(x) = X2 - 5
f-1(x) = SQRT(x+5)
It is no possible divide by zero
TRUE.
Division by zero is an undetermined value.
Evaluate the following function:
b(4) = SQRT(4) / 2
1
Evaluate and elaborate the compound functions:
a(x) = 2X - 3
b(x) = 2X2
b(a(X)) =
2(2x-3)2
Decompose the following function in f and g.
C(X) = (x - 2) / 4
f(x) or g(x) = X - 2
g(x) or f(x) = X / 4
Find the inverse function of:
f(x) = SQRT(X-2)
f-1(x) = X2 + 2
FALSE
The result is -3
Evaluate the following function:
c(6) = (4 + X2 ) / 4
10
Evaluate and elaborate the compound functions:
f(x) = 3X + 5
f(f(x)) =
9X + 20
Decompose the following function in f and g.
A(X) = 7 - 2 / SQRT( x )
f(x) or g(x) = SQRT(X)
g(x) or f(x) = (7-2) / X
Find the inverse function of:
f(x) = (-X + 6 ) / (5 + 3X)
f-1(x) = (6-5X) / (3X + 1)
The Domain of f is different to the Range of f-1
It is the same
Evaluate the following function:
a(2) = ( 3x - 1 ) / 2X + 6
1/2, 0.5
Evaluate and elaborate the compound functions:
f(x) = 4x + 3
b(x) = X2
f(b(x)) =
4X2 + 3
Decompose the following function in f and g.
A(X) = SQRT(X+1) / 2
f(x) or g(x) = X / 2
g(x) or f(x) = SQRT(X + 1)
Find the inverse function of:
f(x) = SQRT(x+2) - 4
f-1(x) = (X+4)2 - 2
If f and f-1 are inverses of each other then their graphs are reflections of each other on the line y = x.
TRUE