Given the following table with selected values of the functions f (x) and g(x), determine f (g(2)) − g(f (−1)). x −3 −2 −1 0 1 2
f (x) 16 13 −2 −5 −11 −20
g(x) −10 −3 1 14 8 0

Step-by-step explanation:

First what we must do is rewrite the table to find a solution:

0.25^x −0.75x+1

   64     3.25  

   16     2.5  

    4      1.75  

    1      1

 0.25     0.25  

 0.0625 −0.5    

 0.015625  −1.25  

We see where the values of the function are the same:

x = 0 (1)

x = 1 (0.25)

x = 0

x = 1

3x + 4y -25 =0 represents the amount of change sianna should recieve

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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