Hey here is the question has a few parts to it.(adsbygoogle = window.adsbygoogle || []).push({});

Let f(x)= (x-1)^1/2 and g(x)= 2x^2/x^2+1

a) State the domain and range of f using interval notation.

b) State the domain and range of g using interval notation. (Hint: At

x=0, g is 0. For x(cannot=0) it helps to write g(x)=2/1+1/x^2 and

then stetch a plot of g. Since x^2>0 it follows that g(x_ is always

below 2)

c) Find and simplify the expression for y(x)=(g o f)(x) and state its

domain and range in interval notation.

d) Find and simplify the expression for z(x)=(f o g)(x) and state its

domain and range in interval notation.

for a) i sketched a graph and made an x/y chart and subbed numbers in.

2 1

5 2

10 3

then got the domain to be: X E R | x >= 2

and the Rang YE R | y >= 1

domain: (2, infinity] ?

Range: (1, infitty] ?

and for b i did that same thing with the x/y chart

and i got domain: X E R

Range: Y E R | y >= 0

the hard part here is that i dont know how to put either of them in "interval notation"

and for that c) and d) i have no clue what y(x)=(g o f)(x) is asking me to do, and also z(x)=(f o g)(x)

some help would be great ! thanks.

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# Need some Domain and Range Help

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