Consider the functions f: Rx RR and g: R→ RX R given by f(x,y) = x -y andg(x) = (x,x²) Find the formulas for fog and go f.

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Consider the functions f: Rx RR and g: R→→→→ RX R given by
f(x, y) = x - y andg(x) = (x,x²)
Find the formulas for fog and go f.
Transcribed Image Text:Consider the functions f: Rx RR and g: R→→→→ RX R given by f(x, y) = x - y andg(x) = (x,x²) Find the formulas for fog and go f.
Expert Solution
Step 1

Given function are f:R×RR and g:RR×R defined by fx,y=xy and gx=x,x2.

We have to find the formula for fg and gf.

Now,

fg=fgx=fgx=fx,x2Since, gx=x,x2=xx2As fx,y=xy

Hence, fg=xx2.

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