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

graph of line g of x equals 4 times x minus 5

f(x) is greater.
g(x) is greater.
f(x) and g(x) are the same when x = 3.
g(x) is undefined when x = 3.

Respuesta :

Answer:

Option 1.

Step-by-step explanation:

The given functions are

[tex]f(x)=3x+1[/tex]

[tex]g(x)=4x-5[/tex]

We need to find which function has a greater value when x = 3.

Substitute x=3 in the given functions.

[tex]f(3)=3(3)+1\Rightarrow =10[/tex]

[tex]g(3)=4(3)-5=7[/tex]

The value of function f(x) at x=3 is 10 and the value of function g(x) at x=3 is 7.

[tex]10>7[/tex]

[tex]f(3)>g(3)[/tex]

Since f(x) is greater that g(x) at x=3. Therefore, the correct option is 1.

Answer:

f(x) is greater

Step-by-step explanation: