Fuction Questions

[ChaoticLlama]

Hi, I just want to make sure I understand these questions.

let
f(x) = {(3,5), (2,4), (1,7)}

if I were given the question:

Would 1/f(x) be

1/f(x) = {(3,1/5), (2,1/4), (1,1/7)}

Another question I have is:

let
g(x) = √(x-3)
k(x) = x² + 5

Would (kg)(x) = (x² + 5)(√(x+3)

 

[pav]

F(x) is the y value since the x determins the y
y is a function of x

hence

(x,y)

x,f(x)

 

[ChaoticLlama]

I already know that, and it doesn't help me answer my questions.

All I want is a thumbs up or thumbs down on what I think.

 

[pav]

f(x)= (x,f(x))

1/f(x)=(x,1/f(x))

 

[pav]

g(x)=sqrt(x-3)

K(x)= x^2+5


g(x)=(x,gx)

g(x)=(x,sqrt(x-3))

k(x)=(x,kx)

k(x)=(x,x^2+5)

(k(x)g(x))=(x^2+5)(sqrt(x-3)

x(kg)=(x^2+5)(sqrt(x-3))

 

[ChaoticLlama]

thanks

 

[Matt]

Hello ChaoticLlama,

Hi, I just want to make sure I understand these questions.

let
f(x) = {(3,5), (2,4), (1,7)}

if I were given the question:

Would 1/f(x) be

1/f(x) = {(3,1/5), (2,1/4), (1,1/7)}

Excellent job on this part!

Another question I have is:

let
g(x) = √(x-3)
k(x) = x² + 5

Would (kg)(x) = (x² + 5)(√(x+3)

Absolutely correct!