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

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b