Question

Select the correct answer from each drop-down menu. f(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x) h(x) = . The domain of h(x) is U .

Answer 1

Answer:

h(x) = x-5 . The domain of h(x) is (- infinity,3) U (3, infinity)

Step-by-step explanation: plato/edmentum

Answer 2

The domain of h(x) is  (-∞ , 3 ) ∪ (3,∞) .

What is domain?

The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down to up.

According to the question

f(x) = $x^{2}$ − 8x + 15

g(x) = x − 3

h(x) = f(x) ÷ g(x)

i.e,

h(x) = $\frac{ x^{2} -8x + 15}{x-3}$

now,

x ≠ 3

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

so,

Domain or x ∈ (-∞ , 3 ) ∪ (3,∞)

Hence, The domain of h(x) is  (-∞ , 3 ) ∪ (3,∞)

To know more about domain here:

https://brainly.com/question/13113489

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