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:
5x just means 5 times so, 5 times a number(or variable)plus three is less than 7 times a number variable)plus 7
Answer:
The original regular price for the coat is $90
Step-by-step explanation:
The given information in the question are;
The percentage that was off (removed) from the sale price = 30%
The sale price at which Jerry bought the coat = $63
Whereby the regular price = P, we have;
P - 30% of P = $63
P - 0.3×P = $63
P×(1 - 0.3) = $63
0.7·P = $63
P = $63/0.7 = $90
Therefore, the regular (original) price for the coat = $90
The coat regular price at which the coat is displayed is at $90.
