The function h is defined by h(x)=b−9÷x, where b is a constant. Find b, if the graph of h passes through the point (−6,19).

Question

helllo hi! please help me :)

Answer 1

plug the point (-6,19) into the equation and solve for b

19 = b - 9/-6 = b+ 3/2

b= 19-3/2 = 17 1/2

Answer 2

h(x)=b−9÷x; solve for b

To help clarify, consider h(x) to be the same thing as Y.

Mathematically, it is the function of x which is the same thing as Y = in more familiar math language.

Therefore, you would rewrite the equation as if it was y= b - 9/x. You would use your point (-6,19) in your equation.

1. y = b - (9/x) (then substitute in your x & y values)
2. 19 = b - (9/-6) (combine your negatives to get a positive)
3. 19 = b + 9/6 (simplify your fraction)
4. 19 = b +3/2 (subtract 3/2 from both sides to solve for b)
5. 19 - 3/2 = b
6. b = 17 1/2 or 17.5