Question

The function f is defined by f(x) = 11x³. For what value of a is f(x) = 25?

Answer 1

To find the value of a for which f(x) = 25, we can set the function equal to 25 and solve for x. The given function is f(x) = 11x³. To isolate x, we divide both sides of the equation by 11 and then take the cube root of both sides.

Step-by-step explanation:

To find the value of a for which f(x) = 25, we can set the function equal to 25 and solve for x. The given function is f(x) = 11x³:

11x³ = 25

To isolate x, we divide both sides of the equation by 11:

x³ = 25/11

Then we take the cube root of both sides to find x:

x = ∛(25/11)

So, to find the value of a for which f(x) = 25, we need to evaluate ∛(25/11) which is approximately 2.032.