Question

On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 3, 0) and the y-axis at (0, 3). A straight blue line with a positive slope, labeled f of x, crosses the y-axis at (0, negative 3) and the x-axis at (1, 0). Both lines intersect at (3, 6).
Which statement is true regarding the functions on the graph?

f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)

Answer 1

f(3) = g(3)

Reason: g passes through (0,3) and (-3,0) so g(x)=x+3 (g(3)=6). f passes through (0,-3) and (1,0) so f(x)=3x-3 (f(3)=6). Thus f(3)=g(3)=6.