If f(x) = , what is the equation for f–1(x)?

f–1(x) = x2 - 3

f–1(x) = (x - 3) 2

f–1(x) = x2 + 3

f–1(x) = (x + 3) 2

Option 2 is the answer.

Step-by-step explanation:

To find the equation for we will fist write the function in the form of equation.

y = √x +3

√x = y - 3

x = (y - 3)² = y² - 6y + 9

Now we will replace y as x to write inverse of function f(x).

We will rewrite the equation in the form of function.

= x² - 6x + 9 ≅ (x - 3)²

So the answer is = (x - 3)²

answer: ask

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: