If f(x) = x + 4 and g(x) = x, what is (gºf)(-3)?
1 answer:
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Answer:
Gail will need 12 yards of white fur, 8 yards of blue striped and 2 yards of the pink felt.
Step-by-step explanation:
We are given that,
The amount of yards for making one costume of different fabrics are,
White fur fabric = =
yards
Blue striped fabric = 1 yard
Pink felt for ears = yards.
So, we have,
The amount required to make 8 costumes are,
White fur fabric = = 3×4 = 12 yards
Blue striped fabric = 1×8 = 8 yards
Pink felt for ears = = 2 yards.
Thus, Gail will need 12 yards of white fur, 8 yards of blue striped and 2 yards of the pink felt.
The function is 
1. let's factorize the expression
:
the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is
, is the same as the end behavior of 
, which has a well known graph. Check the picture attached.
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of
)
so, like the graph of, the graph of :
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "
1. let's factorize the expression
the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of
so, like the graph of
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "