If f(x) = 3x and g(x)= 1/x, what is the domain of (g*f) (f)?
2 answers:
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Answer:
a=0, b=16, of the pair (0,16)
Step-by-step explanation:
You want to prove the following: There are real numbers a and b such that
So, to prove this, it is enough to find a pair (a,b) of real numbers for which the equation holds true. There are infinite of such pairs, but one example is (0,16). Indeed:
In fact, (0,m) or (n,0) ara valid pairs, for nonnegative numbers m,n. Even more is true; these are the only pairs which satisfy the equation.