F(x) = 4x
so f(-2) = 4*-2 = -8
and
g((f(-2)) = g(-8) = -16-1 = -17
Its A
Answer: All of the operations that you have listed will produce a polynomial. Therefore, they are all closed for polynomials. (Did you have a typo?)
When we say an operation is closed for a particular problem, we mean that the resulting answer is of the same type as at the beginning.
In these cases, we are starting with polynomials in each problem. After performing the operations, we still have polynomials. Therefore, they are all closed.
Y=x(5+3x)=5x+3x², we see x² so it is a quadratic function
Answer:
The correct answer to given question is option (a).
Step-by-step explanation:
Given function: f(x)= -2|x+1|
we need to put random values of x in given function to see that range of the given function f(x) is all real numbers.
when:
x=0; f(0)= -2|0+1|= -2|1|= -2
when x is positive i.e. x>0
x=1; f(1)= -2|1+1|= -2|2|= -4
x=2; f(2)= -2|2+2|= -2|4|= -8
when x is negative i.e. x<0
x= -1; f(-1)= -2|-1+1|= -2|0| =0
x=-2; f(-2)= -2|-2+1|= -2|-1|=2 (with the help of mod property |-1|=1)
hence, we saw that
when we take x>0; f(x)<0
when x<0; f(x)>0
we can conclude from above steps that the range of function f(x)= -2|x+1| is all real numbers.
If we go back to the defenition of logs, we can find this solution quickly.
What you're saying when you say ㏒₂(5x+7) = 5 is that
2⁵ = 5x+7
So
32 = 5x+7
25 = 5x
x = 5
