The expression 2 * f(9) – g(–5) of the given functions will give us - 53.
We are given the functions;
f(x) = –x² + 10x – 16
g(x) = |11 – 2x² |
FInd f(9) means we plug in 9 as input value for x in the function f(x). This gives;
f(x) = –x² + 10x – 16
f(9) = -(9)² + 10(9) - 16
f(9) = -7
Find g(-5) means we plug in -5 as input value for x in the function g(x). This gives;
g(x) = |11 – 2x² |
g(-5) = | 11 - 2(-5)² |
g(-5) = | -39| = 39
Find 2 * f(9) – g(–5):
2 * f(9) – g(–5) = 2 (-7) - (39) = -53
Thus, the expression 2 * f(9) – g(–5) of the given functions will give us - 53.
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