Given f(x)=-3x^(2)-10 x-1, find f(-7) Answer:

Substitute Value into Function: Substitute the value -7 into the function f(x). We have f(x) = -3x^2 - 10x - 1, so we need to replace x with -7. f(-7) = -3(-7)^2 - 10(-7) - 1Calculate Square of -7: Calculate the square of -7. (-7)^2 = 49 Now, substitute this value back into the equation. f(-7) = -3(49) - 10(-7) - 1Multiply -3 by 49: Multiply -3 by 49. -3 * 49 = -147 Now, substitute this value back into the equation. f(-7) = -147 - 10(-7) - 1Multiply -10 by -7: Multiply -10 by -7. -10 * -7 = 70 Now, substitute this value back into the equation. f(-7) = -147 + 70 - 1Add and Subtract to Find f(-7): Add -147 and 70, then subtract 1. -147 + 70 = -77 -77 - 1 = -78 So, f(-7) = -78

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Given
f(x)=-3x^(2)-10 x-1, find
f(-7)
Answer:

Given $f(x)=-3 x^{2}-10 x-1$ , find $f(-7)$ $\newline$ Answer:

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Math Problems

Algebra 2

Composition of linear and quadratic functions: find an equation

Full solution

Q. Given

f(x)=-3 x^{2}-10 x-1

, find

f(-7)

\newline

Answer:

Substitute Value into Function: Substitute the value $-7$ into the function $f(x)$ . We have $f(x) = -3x^2 - 10x - 1$ , so we need to replace $x$ with $-7$ . $f(-7) = -3(-7)^2 - 10(-7) - 1$
Calculate Square of $-7$ : Calculate the square of $-7$ . $(-7)^2 = 49$ Now, substitute this value back into the equation. $f(-7) = -3(49) - 10(-7) - 1$
Multiply $-3$ by $49$ : Multiply $-3$ by $49$ . $\newline$ $-3 \times 49 = -147$ $\newline$ Now, substitute this value back into the equation. $\newline$ f $-7$ = $-147 - 10(-7) - 1$
Multiply $-10$ by $-7$ : Multiply $-10$ by $-7$ . $\newline$ $-10 \times -7 = 70$ $\newline$ Now, substitute this value back into the equation. $\newline$ f $-7$ = $-147 + 70 - 1$
Add and Subtract to Find $f(-7)$ : Add $-147$ and $70$ , then subtract $1$ . $\newline$ $-147 + 70 = -77$ $\newline$ $-77 - 1 = -78$ $\newline$ So, $f(-7) = -78$