Question 10(Multiple Choice Worth 1 points) (02.05 MC)
Graph g(x), where f(x) = 2X - 5 and g(x) = f(x + 1).
(g(x)
0
g(x)
0
0

Please refer to the attached image for the graph of g(x).

Step-by-step explanation:

First of all, let us find the value of g(x).

Given that:

and

To find: The graph of g(x) = ?

Solution:

means we replace  'x' with 'x+1' and we get g(x).

Let us replace x with x+1 in f(x):

Now let

Let us put x = 0 and then y = 0 to find two points on coordinate axis to easily plot the graph of g(x).

Putting x = 0,

So, one point is A(0,-3)

Now, let us put y = 0 and find out x.

So, second point is .

Now, let us plot A and B then extend the line joining AB.

Please refer to the attached image for the graph of function:

g(x) = 2x - 3

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240