Use the functions f(x) = 2x2 + 3 and g(x) = 3x + 5 to evaluate the composite function. f(g(3))
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For problems like these, it's very helpful for looking at key words. 'How many more' suggests that one value is greater than the other by a certain amount, which means subtraction. Let's do the same for this equation.
If 165 is m greater than 130, then this means .
This will also mean that m is 130 less than 165. To solve this, isolate the variable and subtract 130 from both sides:
We will end up with m = $35. To prove this, plug 35 into the m value as shown below:
, so the answer is $35 more is needed.
