PLS HELP! BAD AT MATH!
1 answer:
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Assuming you meant
Then you can compose the function g(x)
With the function
Because f (g(x) ) means that you first find (calculte)
and second you divide 7 by g(x) to obtain 7 / [√(8x+10) ].
Then you can compose the function g(x)
With the function
Because f (g(x) ) means that you first find (calculte)
Since , we can rewrite the integral as
Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:
Both integrals are quite immediate: you only need to use the power rule
to get
Now we only need to evaluate the antiderivatives:
So, the final answer is 15.