Question

The functions fx) and g(x) are both linear. The equation of f(x) is f(x) = 3x + 6.

Answer 1

Answer:

The two functions intersect, and the value of $f(0)$ is greater than the value of $g(0)$.

Step-by-step explanation:

Given:

The function $f(x) =3x+6$

The function $g(x)$ has slope 6 and y-intercept 3.

A linear function is of the form: $y=mx+b$, where, 'm' is the slope and 'b' is the y-intercept.

Therefore, the equation of the function $g(x)$ with 'm' equal to 6 and 'b' equal to 3 is given as:

Also, the slope of function $g(x)$ is 3 and y-intercept is 6.

Now, option 1 is incorrect as their slopes are different.

Two lines of different slopes can't represent same line. So, option 2 is also incorrect.

$g(x)=6x+3$

The value of $f(0) =3\times0+6=6$

The value of $g(0)=6\times0+3=3$

Therefore, as 6 > 3, $f(0)>g(0)$

Hence, the last option is correct.