Question

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.if necessary,use/for fraction bar(s) The function below has an input,x, and produces a specific output,c, f(x)=4x^3=c solve for and complete the equation and statements below. x=[ ]

Answer 1

Answer:

To produce "c" as output, x must be=\sqrt[3]{\frac{c}{4} }

Step-by-step explanation:

You are asked to find what "x" value renders "c" as answer when applied to the given function.

So we need to basically solve for "x" in the equation: $4x^3=c$, that is isolate "x" on one side of the equal sign.

We do such by first dividing both sides of the equation by "4" so we isolate the cubic root that contains "x". Then, we apply the cubic root on both sides:

$4x^3=c\\x^3=\frac{c}{4} \\x=\sqrt[3]{\frac{c}{4} }$