Question

Given the function f(x) = 2x – 1 and the linear function g(x), which function has a greater value when x = 3?

A.f(x) is greater.
B.g(x) is greater.
C.f(x) and g(x) are the same when x=3
D.g(x) is undefined when x=3​

Answer 1

Correct option is:

B. g(x) is greater

Explanation:

Firstly, we find the value of f(x) when x=3

f(x)=2x-1

substitute the value of x=3

f(3)=2×3-1=5

On observing the graph, we see that g(x)=7 when x=3

Now, on Comparing the values of f(x) and g(x) when x=3

f(3)=5

g(3)=7

so, g(x) > f(x) when x=3

So, Correct option is:

B. g(x) is greater

Answer 2

Option B. g(x) is greater

Explanation:

step 1

Find the value of f(x) when the value of x is equal to 3

we have

f(x)=2x-1

substitute the value of x=3

f(3)=2(3)-1=5

step 2

Find the value of g(x) when the value of x is equal to 3

Observing the graph

when x=3

g(3)=7

step 3

Compare the values

f(x)=5

g(x)=7

so

g(x) > f(x)

g(x) is greater