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.
Accepted Solution
A:
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.