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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


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.

Respuesta :

Zodiace
f(x)= 3x + 1
f(x)= 3(3) + 1
= 9 + 1
= 10

g(x)= 4x - 5
= 4(3) - 5
= 12 - 5
= 7

So... A. f(x) is greater when x=3

Answer:

A) f(x) is greater.

Step-by-step explanation:

The given function is

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

The function [tex]g(x)[/tex] is defined as [tex]g(x)=4x-5[/tex].

Let's evaluate each function for [tex]x=3[/tex]

[tex]f(3)=3(3)+1=9+1=10\\g(3)=4(3)-5=12-5=7[/tex]

We know that [tex]10>7[/tex].

Therefore, the function [tex]f(x)[/tex] is greater then [tex]g(x)[/tex] when [tex]x=3[/tex].

So, the right answer is A.

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