let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.
f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1
let's call this new function hh. so we have:
{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1
we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.
method 1: substitute x=2x=2 into the combined function hh.
h(x)
h(2)
=3x+1
=3(2)+1
=7
since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).
first, let's find f(2)f(2):
f(x)
f(2)
=x+1
=2+1
=3
now, let's find g(2)g(2):
g(x)
g(2)
=2x
=2⋅2
=4
so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.
notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!
answered: Guest
option c) graph of line going through 1, 4 and 3, 10
step-by-step explanation:
let y equal to margo's coin collection
let x equal to number of years
at the begining x=0, y=1 → point=(x,y)→point=(0,1)
she adds 3 coins per year, then y=1+3x
at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)
at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)
the graph of line going through (1, 4) and (3, 10), then the option c is the correct.
answered: Guest
16 is the absolute value
step-by-step explanation:
answered: Guest
32
step-by-step explanation:
these are your clues: 1. kim ran 18 races2. this was four fewer races than twice thenumber, notice it says twice the number, so you would do the equation 18x2-4; which equals the number 32.thus, 32 is your answer.
The amount spent on food and drink by 20 customers is shown below what is the modal amount spent and the median amount spent? 40 25 8 36 18 15 24 27 43 9 12 19 22 34 31 20 26 19 17 28