if $$f(x) = (3x^{3c-9}+2)^2$$ is a quadratic function, what is $$c$$?

Note by A Brilliant Member
2 years, 4 months ago

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I'm not sure but I think c = $$\frac { 10 }{ 3 }$$ because a quadratic function should be in a form of $$f\left( x \right) =a{ x }^{ 2 }+bx+c$$ and if the exponent of 3x is not 1 then if you square the expression, the result will not be a quadratic function so it should be 1

$$3c-9=1\\ 3c=10\\ c=\frac { 10 }{ 3 }$$

Once again. I am not sure and I am open for corrections :)

- 2 years, 4 months ago