Question

for each function find f(-x) and -f(x).
f(x)=25-x^3

Answer 1

sure let's find

f(-x) substitute -x for x in the function

f(-x)=25-(-x)³

=25+x³

now lets find -f(x)Multiply the given function -1:

-f(x)=-25+x³

Answer 2

Answer:

$\Huge \boxed{\boxed{\bf{f(-x) = 25 + x^{3}}}}$

$\Huge \boxed{\boxed{\bf{-f(x) = -25 + x^{3}}}}$

Step-by-step explanation:

To find $\tt{f(-x)}$ and $\tt{-f(x)}$ for the given function $\tt{f(x) = 25 - x^3}$, we need to perform two separate operations.

Finding "f(-x)"

To find $\tt{f(-x)}$, we substitute $\tt{-x}$ for $\tt{x}$ in the original function:

• $\tt{f(-x) = 25 - (-x)^3}$

• $\tt{f(-x) = 25 - (-1 \times x^3)}$

• $\tt{f(-x) = 25 + x^3}$

Finding "-f(x)"

To find $\tt{-f(x)}$, we multiply the original function by $\tt{-1}$:

• $\tt{-f(x) = -(25 - x^3)}$

• $\tt{-f(x) = -25 + x^3}$

Final Answer

So, for the function $\tt{f(x) = 25 - x^3}$:

➼ $\tt{f(-x) = 25 + x^{3}}$

➼ $\tt{-f(x) = -25 + x^{3}}$  

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