If `f(x) = x - 6` and `g(x) = x^(1/2)(x + 3)`, find `g(x) xx f(x)`.
1 answer:
Answer : option B
Given
f(x) = x - 6
g(x)= √x (x + 3)
We need to find g(x) * f(x)
( x - 6) * (x + 3) √x
we use FOIL method to multiply (x-6)(x+3)
( ) * sqrt(x)
Now apply exponential property to multiply each terms with sqrt(x)
times sqrt(x) becomes \[sqrt(x^5)\]
-3x times sqrt(x) becomes \[-3sqrt(x^3)\]
-18 times sqrt(x) becomes -18sqrt(x)
So final answer is B
\[sqrt(x^5)\] - \[3sqrt(x^3)\] -18sqrt(x)
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Hope this helps!