Question

The function h is defined below.x-9h(x)=2x - 5x- 24Find all values of x that are NOT in the domain of h.If there is more than one value, separate them with commas.x = 08x?

Answer 1

we have the function

`h(x)=(x-9)/(x^2-5x-24)`

Remember that

The denominator cannot be equal to zero

so

Solve the quadratic equation

`x^2-5x-24=(x+3)(x-8)`

substitute in the original function

`h(x)=(x-9)/((x+3)(x-8))`

therefore

The domain of the given function is the interval

(-infinite,-3) U (-3,8) U (8, infinite)

The values that are not in the domain are

-3 and 8