Question

I need help with finding the answer to number 2

Answer 1

Solution

2)

Step 1:

Write the function

$f\text{\lparen x\rparen= 25x}^4$

Step 2:

To find the input when the ouput is -3, substitute f(x) = -3

$\begin{gathered} f(x)\text{ = 25x}^4 \\ \text{-3 = 25x}^4 \\ Divide\text{ both sides by 25} \\ \frac{-3}{25}\text{ = }\frac{25x^4}{25} \\ \frac{-3}{25}\text{ = x}^4 \\ Tak\text{e fourth root of both sides.} \\ \sqrt[4]{\frac{-3}{25}}\text{ = }\sqrt[4]{x^4} \\ \text{x = }\sqrt[4]{\frac{-3}{4}} \\ The\text{ input for the output -3 is undefined.} \end{gathered}$

Answer

Undefined