For each pair of functions, find the points where the functions intersect (i.e., all the point in the domain of both functions where the functions f and g have the same value): f : R rightarrow R with f(x) = 2x + 3, and g : R rightarrow R with f(x) = -1 - 6x. Solution when both the functions intersects f(x) = g(x) => 2x+3 = -1-6x => 8x=-4 x=-0.5 at point x=-0.5 f(x) = g(x) = 2 hence the point is (-0.5 , 2) ..

1. For each pair of functions, find the points where the functions intersect (i.e., all the point in the
domain of both functions where the functions f and g have the same value): f : R rightarrow R
with f(x) = 2x + 3, and g : R rightarrow R with f(x) = -1 - 6x.
Solution
when both the functions intersects
f(x) = g(x)
=> 2x+3 = -1-6x
=> 8x=-4
x=-0.5
at point x=-0.5
f(x) = g(x) = 2
hence the point is (-0.5 , 2) .