Find the vertical asymptotes, if any, of the graph of the rational function. show your work. f(x) = x-4x(x-4)

vertical asymptotes are the values that "x" cannot be. You can find these by:

(1) simplifying the numerator and denominator and then and setting the denominator equal to zero ... in your problem, there is no denominator.

(2) setting the inside of the square root less than 0 ... in your problem, there is no square root.

Since neither of these apply to your problem, there are no vertical asymptotes.

none

FYI: If you wrote the problem wrong and it is supposed to be f(x) = , then the factored form is f(x) = and the simplified form is f(x) = x.

The answer would still be "none" because neither (1) or (2) above apply.

its adding 5.5 each time

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places