Question

Please help me thank you to everyone.Given the two functions below, what is the x-intercept of g(x)?
f(x) = x^2
g(x) = f(x –7)

Answer 1

the x intercept is a point on the graph where y=0,it's of the format (x,0)

start by finding out what f(x-7) is

Answer 2

thanks bibby

Answer 3

so, what's t he answer?

Answer 4

7?

Answer 5

\(g(x) = f(x –7)=(x-7)^2=(x-7)(x-7)=x^2-14x+49\\g(x)=x^2-14x+49\)

then we set y equal to 0

Answer 6

god dammit

Answer 7

\(g(x) = f(x-7)=(x-7)^2=(x-7)(x-7)=x^2-14x+49\\g(x)=x^2-14x+49\)

Answer 8

so x^2-14x=0
I'm not sure why I did this so redundantly but yes x=7

Answer 9

okay so what do i do now @bibby

Answer 10

you're done, the x intercept is at x=7 or (7,0)

Answer 11

thank you so much!!

Answer 12

anytime