Question

The function g is defined by g(x)= 5/x −bx^2+1, where b is a constant. Find b, if the graph of g passes through the point (−2,10).

Answer 1

b = -2.875

Explanation:

You want the value of b such that (-2, 10) is a point on the graph of g(x)= 5/x −bx²+1.

Unknown

Fill in the given values and solve for b.

g(-2) = 10

5/(-2) -b(-2)² +1 = 10

-2.5 -4b +1 = 10

-4b = 11.5

b = -11.5/4

b = -2.875