Functions
100

Find the rules for (fog)(x) and (gof)(x) and give the domain of each composite factor.

f(x)=3x-2 and g(x)=x+1

fog: 3x+1.        Domain: All real numbers

gof; 3x-1.            Domain: all real numbers

200

Find the rules for (fog)(x) and (gof)(x) and give the domain of each composite factor.

 f(x)=x2-x and g(x)=x+1

fog: x2+3x+2       Domain: All real numbers

gof: x2+x+1            Domain: all real numbers

300

Find fog and gof and state domain in each case.

f(x)=(1-x)/x and g(x)=4/(x+1)


fog:(x-3)/4       Domain: x is not equal-1

gof: 4x         Domain: x is not equal to 0

400

Find fog and gof and state domain in each case.

f(x)=x+(1/x) and g(x)=1+x

fog:(2x+x2+2)/(1+x), Domain: x is not equal-1 or 0

gof: (x2+x+1)/(x)         Domain: x is not equal to 0

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