F(x) = 3x2 – 5x – 9
g(x) = 3x – 8
Find: f(g(x))

27x^2 - 159x + 223

Step-by-step explanation:

We replace the x in f(x) by g(x):

f(g(x)) = 3(3x - 8)^2 - 5(3x - 8)  - 9

= 3(9x^2 - 48x + 64) - 15x + 40 - 9

= 27x^2 - 144x + 192 - 15x + 31

= 27x^2 - 159x + 223.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: it is d