Consider the function fx=3x-1/x+4. (a) at which value of x will the function not have a solution? explain your answer. (b) if g(x) is a vertical shift up 4 units from 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.

(A)

(B)

(C)

Step-by-step explanation:

we are given

(a)

we know that

any function is undefined when denominator =0

so, we can set denominator =0

and then we can solve for x

So, it does not have solution at

(b)

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

Whenever we shift vertically upward by 'a' units , we always add 'a' to y-value

so, we get

g(x)=f(x)+4

we get

Graph:

(C)

we can set g(x)=8

and then we can solve for x

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: