Answer:
Answer: 25
Step-by-step explanation:
We are given that
We then input the values in the given equation:
Solve in the parenthesis first.
Simplify the fraction.
Multiply.
Answer: (a)
Step-by-step explanation:
Given
Equation is
Write the cross-multiplication of the given equation i.e.
This corresponds to the option (a).
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:
-1/25
Step-by-step explanation:
