What is g(f(x)) when f(x) = 5x + 3, and g(x) = 3x2 + 3?

g(f(x)) =75x² + 90x + 30

Step-by-step explanation:

To find g(fx), all we need to do is to insert f(x) in g(x), that is anywhere x is in g(x), we replace the value of g(x) with x and then simplify

f(x) = 5x + 3         g(x) = 3x² + 3

g(f(x))  =  3(5x + 3)²  +  3

Next is to open the parenthesis and then simplify

(5x + 3)² = (5x + 3)(5x + 3)  = 5x(5x+3) + 3(5x+3) =25x² +15x +15x+9 = 25x²+30x+9

g(f(x)) = 3(25x² + 30x + 9) +  3

g(f(x)) = 75x² + 90x + 27 + 3

g(f(x)) =75x² + 90x + 30

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

answer: 1 + 1 = 11

step-by-step explanation: