Pls 15 points consider the following function: f(x) = 3x-1 / x+4 a) at which value of x will the function not have an answer? explain. b) if g(x) is a vertical shift of 4 units of f(x), write the function g(x). how does the graph of g(x) compare to the graph of f(x)? explain the function you wrote. c) what is the value of x when g(x) = 8? show your work. u : )

we are given

(a)

We know that when denominator of any function is 0

then function will become undefined

so, denominator=0 will make function  no solution

so, we set denominator =0

and then we solve for x

............Answer

(b)

Vertical shift:

Suppose, we want to shift y=f(x) function vertically by 'c' units

we add 'c' top y-value

so, new function will become

now, we have

If g(x) is a vertical shift of 4 units of f(x)

so, we can write our function as

we can plug f(x)

Comparison:

So, graph of f(x) is moved upside by 4 units to get graph of g(x)

(c)

We can set g(x)=8

and then we can solve for x

Multiply both sides by x+4

..............Answer

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it