Given the function f(x)=-x^(3)-(4)/(5), then what is f(-2x) as a simplified polynomial? Answer:

Substitute -2x into function: First, we need to substitute -2x into the function f(x) = -x^3 - 4/5. f(-2x) = -(-2x)^3 - 4/5Calculate cube of -2x: Now, we calculate the cube of -2x. (-2x)^3 = -8x^3Substitute cube value back: Substitute the value of (-2x)^3 back into the function. f(-2x) = -(-8x^3) - 4/5Multiply negative sign: Multiply the negative sign into the cube of -2x. f(-2x) = 8x^3 - 4/5Final simplified function: The function f(-2x) is now simplified and there are no further simplifications needed.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Given the function
f(x)=-x^(3)-(4)/(5), then what is
f(-2x) as a simplified polynomial?
Answer:

Given the function $f(x)=-x^{3}-\frac{4}{5}$ , then what is $f(-2 x)$ as a simplified polynomial? $\newline$ Answer:

View step-by-step help

Home

Math Problems

Calculus

Find derivatives of using multiple formulae

Full solution

Q. Given the function

f(x)=-x^{3}-\frac{4}{5}

, then what is

f(-2 x)

as a simplified polynomial?

\newline

Answer:

Substitute $-2x$ into function: First, we need to substitute $-2x$ into the function $f(x) = -x^3 - \frac{4}{5}$ . $\newline$ $f(-2x) = -(-2x)^3 - \frac{4}{5}$
Calculate cube of $-2x$ : Now, we calculate the cube of $-2x$ . $(-2x)^3 = -8x^3$
Substitute cube value back: Substitute the value of $(-2x)^3$ back into the function. $\newline$ $f(-2x) = -(-8x^3) - \frac{4}{5}$
Multiply negative sign: Multiply the negative sign into the cube of $-2x$ . $\newline$ $f(-2x) = 8x^3 - \frac{4}{5}$
Final simplified function: The function $f(-2x)$ is now simplified and there are no further simplifications needed.