Let f(x)=1/x and g(x)=x^2-7x what two numbers are not in the domain of f °g?

  x ∈ {0, 7} are not in the domain

Step-by-step explanation:

f(x) is undefined for x=0, so f(g(x)) will be undefined for g(x) = 0.

We are looking for the values of x that make g(x) = 0. They are the solutions to ...

  x^2 -7x = 0

  x(x -7) = 0

This product will be zero when either factor is zero, for ...

  x = 0 . . . or . . . x = 7

The domain of f(g(x)) excludes x=0 and x=7.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

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.

click to let others know, how is it

0.0

0 votes

1

report

read more on -

step-by-step explanation: