Question

Given that f(x) = x²-1,
a) Find f(5)
b) Find f-'(x)
c) Find f-'(8)

Answer 1

step by step as shown

Explanation:

f(x) = x²-1

f(5) = 5² - 1 = 24

f⁻¹(x)

y = x²-1

x = y² - 1 swap x and y

y² = x+1 ... x+1 ≥ 0 x≥-1

y = √x+1

f⁻¹(x) = √x+1

f⁻¹(8) =√8+1 = √9 = 3