Given f(x)=-2x^(2)-6x-6, find f(-1) Answer:

Given function substitution: We are given the function f(x) = -2x^2 - 6x - 6 and we need to find the value of f(-1). First, substitute x with -1 in the function. f(-1) = -2(-1)^2 - 6(-1) - 6Calculate square: Now, calculate the square of -1. (-1)^2 = 1Substitute result: Substitute the result back into the function. f(-1) = -2(1) - 6(-1) - 6Multiply and simplify: Multiply -2 by 1 and -6 by -1. f(-1) = -2 - (-6) - 6Combine like terms: Now, simplify the expression by adding and subtracting the numbers. f(-1) = -2 + 6 - 6Final subtraction: Combine the like terms. f(-1) = 4 - 6Finally, subtract 6 from 4. f(-1) = -2

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Given
f(x)=-2x^(2)-6x-6, find
f(-1)
Answer:

Given $f(x)=-2 x^{2}-6 x-6$ , find $f(-1)$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Evaluate expression when two complex numbers are given

Full solution

Q. Given

f(x)=-2 x^{2}-6 x-6

, find

f(-1)

\newline

Answer:

Given function substitution: We are given the function $f(x) = -2x^2 - 6x - 6$ and we need to find the value of $f(-1)$ . $\newline$ First, substitute $x$ with $-1$ in the function. $\newline$ $f(-1) = -2(-1)^2 - 6(-1) - 6$
Calculate square: Now, calculate the square of $-1$ . $(-1)^2 = 1$
Substitute result: Substitute the result back into the function. $\newline$ $f(-1) = -2(1) - 6(-1) - 6$
Multiply and simplify: Multiply $-2$ by $1$ and $-6$ by $-1$ . $\newline$ $f(-1) = -2 - (-6) - 6$
Combine like terms: Now, simplify the expression by adding and subtracting the numbers. $f(-1) = -2 + 6 - 6$
Final subtraction: Combine the like terms. $f(-1) = 4 - 6$
Final subtraction: Combine the like terms. $\newline$ f $(-1)$ = $4 - 6$ Finally, subtract $6$ from $4$ . $\newline$ f $(-1)$ = $-2$