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
Answer:
(b) 17 1/3
Step-by-step explanation:
mixed number
A number is written as a whole number and a fraction
Answer:
5/4
Step-by-step explanation:
, open the bracket
3=28-14u-6u
Collect like terms
3-28=-14u-6u
-25 =-20u
Divide both side by -20
u=-25/-20. Minus sign will cancel each other and reduce to the lowest term
u=5/4
Answer:
Its already in slope intercept form
Step-by-step explanation:
y=mx+b
