Learning about function expression.

How to determine which expression represents f(x) and g(x)

Learning about function expression.

How to determine which expression represents f(x) and g(x)

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Middletown, CT

Hi Lisa;

f(x)/g(x)

(x^{2}-1)/(x-1)

x cannot equal 1 because this would render the denominator, also known as the divisor, as zero.

x can be greater than 1.

If you would like, we can factor the numerator...

x^{2}-1

(x+1)(x-1)

FIRST...(x)(x)=x^{2}

OUTER...(x)(-1)=-1x=-x

INNER...(1)(x)=1x=x

LAST...(1)(-1)=-1

x^{2}-x+x-1

x^{2}-1

So...

f(x)/g(x)=[(x+1)(x-1)]/(x-1)

(x-1) is in the numerator and denominator. It cancels...

f(x)/g(x)=(x+1)

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