PLEASE KNOW BEFORE YOU ANSWER. I CAN'T GET THIS WRONG.
1 answer:
Answer:
a) Error: Moving the decimal point without changing the exponent changes the value of the number. The final number reported is different from the one computed.
b) Correct work: (see below)
... Correct solution: 1.035×10¹¹
Step-by-step explanation:
a) When the decimal point is moved to the left in the mantissa, its value is divided by 10 for each place the decimal point is moved. To keep the overall value of the number the same, the power of 10 must be increased to compensate. The increase in the exponent is the number of places the decimal point is moved left.
In this problem, the decimal point is moved 1 place left, so the exponent needs to be increased from 10 to 11.
b) Correct work:
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For this case we have the following equations:
We must find
By definition of composition of functions we have to:
So:
We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.
So, the roots are:
The domain is given by all real numbers except 0 and 3.
Answer:
x other than 0 and 3