Question

Graph the function y=sqrt x-2-5 which point lies on the graph?
a. (-5,2)
b. (-2,5)
c. (3,-4)
d. (1,4)

Answer 1

@emilys819 whenever you have two functions say \[f*(g(x)) \] this means that you have two composite functions. If I remember this correctly, this means that you compute the value of x for whatever function is in the inside, then you compute the value for the other function. Let's look at this first:

\[f(*g(x))= outside (inside) \]

You plug in a value x in whatever function is on the inside and you'll get a number.
you take that number and plug it into the function on the outside say f(x).

first we identify our functions:

f(x) = -4x+7
g(x) = 2x-6

f*(g(x)) in this case our x value is one, so we plug in one to g(x) and we will get a number.

g(1) = 2(1)-6 = 2-4 = -4

so g(1) gives us -4 as our value.

we take this and we plug this into f(x) now

f(4) = -4(1)+7 = -4+7 = 3

so our answer for this is 3.

Answer 2

the answer is not 3, ah no, wait sorry.. we had -4 from the f(1) we take that number -4 and plug it into g(x) g(-4) -4(-4)+7 = 16+7 = 23

Answer 3

thankyou!! def helped!!