The function f is defined by f(x)=cx−3, where c is a constant. find c, if the value of f at x=1.5 is equal to −5.25.

The answer to your question is c = -1.5

Step-by-step explanation:

Data

Function = f(x) = cx - 3

x = 1.5

f(x) = -5.25

Process

Substitute

                  -5.25 = 1.5c - 3

Solve for c

- Add 3 units in both sides

                  -5.25 + 3 = 1.5c - 3 + 3

- Simplify

                         -2.25 = 1.5c

- Divide both sides by 1.5

                         -2.25/1.5 = 1.5/15 c

- Simplify and result

                          -1.5 = c                  

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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