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Question
Multiple choice question :
If f(x) = 2x2 and g(x) = `1/(3x)`, then fog is
Options
`3/(2x^2)`
`3/(3x^2)`
`2/(9x^2)`
`1/(6x^2)`
Solution
`2/(9x^2)`
Explanation;
Hint:
f(x) = 2x2
g(x) = `1/(3x)`
fog = f[g(x)]
= `"f"(1/(3x))`
= `2(1/(3x))^2`
= `2 xx 1/(9x^2)`
fog = `2/(9x^2)`
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