Question

Find the inverse of the following function. f(x) =^3squareroot x + 12 I NEED AN ANSWER NOWW

Answer 1

Answer:

C. F^-1(x)=x^3-12

Step-by-step explanation:

$\sqrt[3]{x+12} =y\\\\then\\\\x+12=y^{3} \\\\then\\\\x=y^{3} -12\\\\then\\\\f^{-1}(x) =x^{3} -12$

Answer 2

Answer:

(x - 12)²/9

Step-by-step explanation:

y = 3sqr(x) + 12

Make x the subject:

y - 12 = 3sqrt(x)

(y - 12)/3 = sqrt(x)

Square both sides

(y - 12)²/9 = x

Interswitch variables

inverse function is:

(x - 12)²/9

If f(x) = (x + 12)^⅓

Then,

y = (x + 12)⅓

y³ = x + 12

y³ - 12 = x

f inverse:

x³ - 12