Question

The inverse of f(x) = x2 – 3 is
f-() = x2 +3
:: - (2) = V2 + 3
:: f-(x) = V2 - 3
:: f-1 (2) = 1 - 3

Answer 1

Answer:

• f ⁻¹(x) = $\sqrt{x + 3}$

Step-by-step explanation:

Find the inverse of f(x) = x² - 3

Substitute x with y and f(x) with x and solve for y:

• x = y² - 3
• y² = x + 3
• $\sqrt{y^2}$ = $\sqrt{x + 3}$
• y = $\sqrt{x + 3}$

Replace y with f⁻¹(x):

• f ⁻¹(x) = $\sqrt{x + 3}$

Answer 2

Step-by-step explanation:

i guess maths is the hardest subject