I don't know where to begin.

Given f(x) = (2x - 2) / (x^2 + x - 2)

and

g(x) = (a) / (b + x)

such that g(x) = f(x) wherever f is defined, find the values of a and b.

Question

I don't know where to begin. 

Given f(x) = (2x - 2) / (x^2 + x - 2)

and

g(x) = (a) / (b + x)

such that g(x) = f(x) wherever f is defined, find the values of a and b.

amistre64 · Answer

factor ....

anonymous · Answer

I end up with $$f(x) = \frac{ 2 }{ 2+x } = g(x) = \frac{ a }{ b+x }$$

but a and b can't be the same values, can they?

amistre64 · Answer

there is nothing to say that cant be the same value

anonymous · Answer

If they were the same value, I think my teacher would have written g(x) = (a)/(a+x)

amistre64 · Answer

a is some value, b is some value.  since some value can be the same as some value .... then its possible for a to equal b, unless stated that a not equal b .... which is not states

anonymous · Answer

Ok that makes sense. My teacher has been known to trick us. Thanks.

amistre64 · Answer

youre welcome