Given f(x)=-x^(2)+4x+16, find f(-9) Answer:

Identify Function and Value: Identify the function and the value to be substituted. We are given the function f(x) = -x^2 + 4x + 16 and we need to find f(-9).Substitute x with -9: Substitute x with -9 in the function f(x). f(-9) = -(-9)^2 + 4(-9) + 16Calculate Square of -9: Calculate the square of -9. (-9)^2 = 81Multiply by 4: Multiply 4 by -9. 4(-9) = -36Combine Calculated Values: Combine all the calculated values into the function. f(-9) = -(81) + (-36) + 16Perform Arithmetic Operations: Perform the arithmetic operations. f(-9) = -81 - 36 + 16 f(-9) = -117 + 16 f(-9) = -101

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Given
f(x)=-x^(2)+4x+16, find
f(-9)
Answer:

Given $f(x)=-x^{2}+4 x+16$ , find $f(-9)$ $\newline$ Answer:

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Algebra 2

Composition of linear and quadratic functions: find a value

Full solution

Q. Given

f(x)=-x^{2}+4 x+16

, find

f(-9)

\newline

Answer:

Identify Function and Value: Identify the function and the value to be substituted. $\newline$ We are given the function $f(x) = -x^2 + 4x + 16$ and we need to find $f(-9)$ .
Substitute $x$ with $-9$ : Substitute $x$ with $-9$ in the function $f(x)$ . $f(-9) = -(-9)^2 + 4(-9) + 16$
Calculate Square of $-9$ : Calculate the square of $-9$ . $(-9)^2 = 81$
Multiply by $4$ : Multiply $4$ by $-9$ . $4(-9) = -36$
Combine Calculated Values: Combine all the calculated values into the function. $\newline$ $f(-9) = -(81) + (-36) + 16$
Perform Arithmetic Operations: Perform the arithmetic operations. $\newline$ $f(-9) = -81 - 36 + 16$ $\newline$ $f(-9) = -117 + 16$ $\newline$ $f(-9) = -101$