u(x) = -2x², v(x)= 1/x
(u o v)(x) = u(v(x)) = -2(1/x)²= -2/x²
We can see that domain for x is going to bee all real numbers except 0. From the equation above we can see that graph of the function (u o v)(x) = -2/x² has horizontal asymptote y=0, because degree of numerator is less than degree of denominator ( (u o v)(x) = -2x⁰/x² ).
x² is always going to be positive, so range is going to be all negative numbers.
y<0, or y∈(0,-∞)
The error Giovanna made in her calculation is multiplying 7 by 2 and adding with 5/8(step 3)
<h3>Fraction</h3>
Her calculation:
- 7 (2 and StartFraction 5 over 8 EndFraction): 7(2 5/8)
- 7 (2 + StartFraction 5 over 8 EndFraction): 7(2 + 5/8)
- 14 + StartFraction 5 over 8 EndFraction: 14 + 5/8
- 14 and StartFraction 5 over 8 EndFraction: 14 5/8
Her error was multiplying 7 by 2 and adding with 5/8(step 3)
Correct calculation:
7(2 + 5/8)
= 14 + 35/8
= (112+35) /8
= 147/8
= 18 3/8
Learn more about fraction:
brainly.com/question/11562149
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