What is the domain of the rational function, f of x equals quantity x minus 5 over quantity 2 times x minus 3
1 answer:
Answer:
<u>Domain = R - {3/2}</u>
Step-by-step explanation:
The domain of a rational function consists of all the real numbers x except those for which the denominator is 0
The given function is :
We need to find the zeros of the denominator
∴ 2x - 3 = 0 ⇒ add 3 to both sides
∴ 2x = 3 ⇒ divide both side by 2
∴ x = 3/2
The domain will be all real number except the zeros of the denominator.
So, Domain = R - {3/2}
Also, see the attached figure that represents the given function.
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Answer:
x=πn, n∈Z
Step-by-step explanation:
if sin²2x=1-cos²2x, then
1-cos²2x-2cos2x+2=0; ⇒ cos²2x+2cos2x-3=0; ⇔ (cos2x+3)(cos2x-1)=0;