See the attached picture for 2 options for question 1 and 2 depending on how the fractions are written.
Question #3:
17 = -13 - 8x
Add 13 to each side:
30 = -8x
Divide both sides by -8:
X = 30 / -8
X = -3 3/4
Answer:
f(g(9)) = 945/16
Step-by-step explanation:
To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).
g(x) = x + 3/4
f(x) = x² - 4x - 3
f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3
f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3
f(g(x)) = x² - 5/2x + 9/16 + 3 - 3
f(g(x)) = x² - 5/2x + 9/16
Now, put a 9 wherever there is an x in f(g(x)).
f(g(9)) = (9)² - 5/2(9) + 9/16
f(g(9)) = 81 - 5/2(9) + 9/16
f(g(9)) = 81 - 45/2 + 9/16
f(g(9)) = 117/2 + 9/16
f(g(9)) = 945/16
Dividing fractions is the same as multiplying by its reciprocal so you can change the equation to this

And you can simplify by eliminating the fours and multiplying straight across

You can pull out - 7 from the top and 2 from the bottom so you have this

And then you can cancel out to (2-x) to get an answer of
1/5 (150x - 80y + 50 - 50x - 25y + 20) = 20x - 21y + 14
what I did is combined the like terms and multiplied each term within the parenthesis by .2