Question
Find functions f and g such that h = g ∘ f. (note: the answer is not unique. enter your answers as a comma-separated list of functions. use non-identity functions for f and g.) h(x) = 1 x2 − 81
Asked by: USER1322
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193 Answers
Answer (193)
It is given in the question that
[tex]h(x) = (fog)(x) = x^2 -81[/tex]
And [tex]x^2 -81[/tex]
can also be written as
[tex](x^2 -40) -41[/tex]
Therefore,
[tex](fog)(x) = (x^2 -40)-41[/tex]
[tex]f(g(x)) = (x^2 -40)-41[/tex]
That gives,
[tex]g(x) = x^2 -40, f(x) = x-41[/tex]