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wariber [46]
3 years ago
12

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

Mathematics
2 answers:
olasank [31]3 years ago
5 0
Hello : 
x²-8x+15 = (x-3)(x-5)
<span>h(x) = f(x) ÷g(x) = (x-3)(x-5)/(x-3)= x-5</span>
Pachacha [2.7K]3 years ago
5 0

Answer:

Step-by-step explanation:

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

To find: The value of h(x)=\frac{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)=\frac{f(x)}{g(x)} will be:

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

h(x)=\frac{x^2-5x-3x+15}{x-3}

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

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

h(x)=x-5

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

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