SOLUTION: Given the functions {{{f(x) = 6x^2 - 8x - 23}}} and {{{g(x) = 27 - 9x}}}. Find each of the following: g(-4) f(-4) f(5 + h)

SOLUTION: Given the functions {{{f(x) = 6x^2 - 8x - 23}}} and {{{g(x) = 27 - 9x}}}. Find each of the following: g(-4) f(-4) f(5 + h) - f(5)

Question 51335: Given the functions and . Find each of the following:

g(-4)
f(-4)
f(5 + h) - f(5)
Answer by rchill(405) (Show Source): You can put this solution on YOUR website!
The notation g(-4) means we take "-4" and substitute it in the g() function anywhere there is "x". So, . Similarly, for function f(), we get . We do the same for , but have to call the f() function twice: once for (5+h) and the other for (5). Solving f(5+h) produces which simplifies to , which further simplifies to . Combining like terms produces . Because we solved f(5) earlier to get , we can now solve by substitution: which simplifies to , which can be rewritten as .
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