Given the function f(x) = x + 1 and the linear function g(x), which function has a greater value when x = 2?
a. f(x) is greater
b. g(x) is greater
c. f(x) and g(x) are the same when x = 2.
d. g(x) is undefined when x = 2.

Option C. f(x) and g(x) are the same when x = 2.

Step-by-step explanation:

step 1

Find the value of f(x) for x=2

we have

For x=2

Substitute in the function

step 2

Find the value of g(x) for x=2

Observing the graph

For x=2 ----> the value of g(2)=3

step 3

Compare the values

f(2)=3

g(2)=3

therefore

f(x) and g(x) are the same when x = 2.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

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step-by-step explanation: