1-3 Function Operations and Composition Jim was given three functions and asked to determine f + (gon). The functions were f (x) = x2 g(x) = 3x + 1, and h(x) = 2x. Jim started by writing the problem as (r + (gon))(x) = x2 + 2(3x + 1). What was Jim's mistake? What is the correct solution? O A Jim omitted the x in h(x): [ + (g = n)) = 7x2 + 2x B. Jim should have added f and g first; ( + (gon)) = 4x2 + 6x + 1 O C. Jim incorrectly performed h og instead of goh: (f + g - h)) = x2 + x + 1. OD D. Jim did not follow the order of operations, I + (g o h)) = x2 + 6x + 2.

Step-by-step explanation:

Given the functions:

f (x) = x^2

g(x) = 3x + 1

h(x) = 2x

We are to look for  f + (goh)

First we need to get the composite function goh

goh = g(h(x))

g(h(x)) = g(2x)

To get g(2x) we will substitute x in g(x) as 2x as shown below:

Given g(x) = 3x+1

g(2x) = 3(2x)+1

g(2x) = 6x+1

f + goh = x² + (6x +1)

f + goh = x² + 6x +1

Jim wrote goh as 2(3x+1) instead of 3(2x) + 1. The composite function that Jim looked for was hog not goh.

The correct solution is f + goh = x² + 6x +1

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560