Question

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

Answer 1

Answer:

Graph g(x) = 2x - 3

Step-by-step explanation:

Plug in (x+1) to f(x) = 2x - 5:

g(x) = 2(x+1) - 5 = 2x + 2 - 5

g(x) = 2x - 3

Answer 2

Answer:

Refer the attached figure.

Step-by-step explanation:

Given : Functions $f(x)=2x-5$ and $g(x)=f(x+1)$

To find : Graph g(x)?

Solution :

First we find the function g(x),

As  $g(x)=f(x+1)$

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

$f(x+1)=2(x+1)-5$      

$f(x+1)=2x+2-5$  

$f(x+1)=2x-3$          

Substitute in g(x),

$g(x)=2x-3$

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

x-intercept, g(x)=0

$2x-3=0$

$x=\frac{3}{2}$

y-intercept, x=0

$g(x)=2(0)-3$

$g(x)=-3$

Plotting these two points draw the graph,

Refer the attached figure below.