You need to take the whole function of g(x) and plug it into every single x within f(x). Bit tricky, so it just means we need to be careful. Alright, so this is the first set-up<span><span><span><span>−2x−7</span><span>x−1</span></span>−7</span><span><span><span>−2x−7</span><span>x−1</span></span>+2</span></span>So what You should do is make the top portion and the bottom portion all into one fraction. This means I need a common denominator. So to do this, I'll take x-1 as a common denominator and multiply it up into the numerator and the imaginary 1 denominator of -7 and 2. Doing this I have:<span><span><span>−2x−7−7(x−1)</span><span>x−1</span></span><span><span>−2x−7+2(x−1)</span><span>x−1</span></span></span>From here if I divide the top fraction and the bottom fraction, (x-1) will cancel out dueto me flipping the bottom fraction and multiplying. So that leaves me with:<span><span>−2x−7−7(x−1)</span><span>−2x−7+2(x−1)</span></span>Now if I multiply everything out and combine like terms I will have:<span><span><span>−2x−7−7x+7</span><span>−2x−7+2x−2</span></span>=<span><span>−9x</span><span>−9</span></span>=x</span>So that is the first part. We have to check both ways to confirm they are actually inverses of each other, though. Take a look at this part and see if you can make sense of what I did.
Answer:
918 inches
Step-by-step explanation:
Answer:
Margin of error is 4.1
Step-by-step explanation:
The margin of error in statistics refers to a quantity which expresses the amount of random sampling error from the results of a survey conducted. A large margin of error implies less confidence in the results of the survey.
The margin of error can be approximated using the population standard deviation, if known.
Therefore, the margin of error will be reported as 4.1
8.5% = 0.085 x 89.95 = 7.64675 + 89.95 = 97.59575 rounded to the nearest hundredth is $97.60
