the function g(c) =2x the function f(x) =2x+k and k< 0 which of the following statements is true?

a.) the graph of f(x) is shifted k u it’s to the left of the graph g(x)

b.)the graph of f(x) is shifted k units to the right of the graph g(x)

c.)the graph of f(x) is shifted k units above the graph of g(x)

d.)the graph of f(x) is shifted k units below the graph of g(x)

The graph of f(x) is shifted k units to the right of the graph of g(x).    

Step-by-step explanation:

Given the function  and  where k <0.

As, horizontal depends on the value of x and are when

g(x)=f(x+h)   graph shifted to left.

g(x)=f(x-h)    graph shifted to right.

Now, given

But here k is negative, when k is considered positive then f(x) becomes

⇒ The graph of f(x) is shifted k units to the right of the graph of g(x).

Correct option is B.

step-by-step explanation:

f(gx)=f(1/x+2)

=(1/x+2)+2

=(1+2x)/2+2

=(1+2x+4)/2

= (2x+5)/2