Question

Select the correct answer from each drop down menu

Answer 1

Answer:

Domain is Set of all real numbers

Step-by-step explanation:

1. Domain : It is the set of values for which our function is defined and it gives some value of f(x) for every value of x in it.

$h(x)=f(x)÷g(x)$

$f(x)=x^2-8x+15$

   $=x^2-3x-5x+15$

  $=x(x-3)-5(x-3)$

    $=(x-5)(x-3)$

$g(x)=(x-3)$

$h(x)=\frac{f(x)}{g(x)}$

$h(x)=\frac{(x-5)(x-3)}{(x-3)}$

$h(x)=(x-5)$

Hence we see that h(x) is defined for every value of x

Domain is Set of all real numbers