Question

F(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x)

Answer 1

hello :
x²-8x+15 = (x-3)(x-5)
h(x) = f(x) ÷g(x) = (x-3)(x-5)/(x-3)= x-5

Answer 2

Explanation:

Given: It is given that
`f(x)=x^2-8x+15` and
`g(x)=x-3`.

To find: The value of
`h(x)=(f(x))/(g(x))`

Solution: It is given that
`f(x)=x^2-8x+15` and
`g(x)=x-3`, then the value of
`h(x)=(f(x))/(g(x))` will be:

`h(x)=(x^2-8x+15)/(x-3)`

`h(x)=(x^2-5x-3x+15)/(x-3)`

`h(x)=(x(x-5)-3(x-5))/((x-3))`

`h(x)=((x-3)(x-5))/((x-3))`

`h(x)=x-5`

Thus, the value of
`h(x)` will be
`x-5`.