If f(x)=(x+3)³+4
let g(x)=f(x+1)-2
find when g(x)=12

Step-by-step explanation:

The composite function (f(x+1)) is moved in the x-axis by -1, you know this by solving x+1=0.

The equivalent expresion for f(x+1) is

Eval the above expression in g(x)

We must find x that gives g(x)=12

The equation is the following

Grouping terms>

To solve for x, must apply cubic root in both sides of equation:

it then turns in the following>

Giving the stated answer

b

step-by-step explanation:

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.