In Exercises 51–66, find
a. (fog) (x)
b. (go f) (x)
c. (fog) (2)...

Question

In Exercises 51–66, find 
a. (fog) (x)
b. (go f) (x)
c. (fog) (2)
d. (go f) (2). 
f(x) = 2x-3, g(x) = (x+3)/2

Accepted Answer

So this problem says we gonna solve G ff of zero where F of X equals four, X minus seven. G F X equals X plus 7/4. Let's first solve for G of F of X. So G F F of X. That's the same thing as saying G on the outside with F F X on the inside. Now you can rewrite our equation. So FX on the inside we have g. of or X -7. We write this, we're gonna plug in for X -7. For everywhere there's an X. and our g equation. So look here And said this x here we're gonna put four X -7. Then we have our plus seven and then it's all over four. Now we can simplify this equation, you will get four X minus seven plus seven. The seven is canceled out. Give us four X over four. Finally our four and four will cancel out leaving us with just X. So equation G F of X is equal to X. Now we want to find where X is equal to zero based on this piece of information up here. If X is equal to zero We will say GFF of zero, plug in zero for X. We just get zero is the answer to our problem and zero or answer A. Okay I hope that's not the problem. Thank you for watching. Goodbye

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