Substitute x with −9: Given the function f(x)=−x2+5x−6, we need to find the value of f(−9). To do this, we will substitute x with −9 in the function and simplify.f(−9)=−(−9)2+5(−9)−6
Calculate (−9)2: First, we calculate (−9)2, which is the square of −9.(−9)2=81
Multiply 5 by −9: Next, we multiply 5 by −9.5(−9)=−45
Substitute values and simplify: Now, we substitute these values into the function and simplify.f(−9)=−(81)+(−45)−6
Perform arithmetic operations: We simplify the expression by performing the arithmetic operations. f(−9)=−81−45−6
Final value: Adding the numbers together, we get the final value.f(−9)=−81−45−6=−132
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