Graph g(x), where f(x)=2x-5 and g(x)=f(x+1)

Refer the attached figure.

Step-by-step explanation:

Given : Functions and

To find : Graph g(x)?

Solution :

First we find the function g(x),

As  

Finding f(x+1) by substituting x=x+1 in f(x)

Substitute in g(x),

Now, To plot the g(x) we find the x-intercept and y-intercept

x-intercept, g(x)=0

y-intercept, x=0

Plotting these two points draw the graph,

Refer the attached figure below.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11