Answer:
a) f(5) = 24
b) The inverse of given function
f⁻¹ ( x ) = √x+1
c) f⁻¹ ( 8 ) = √9 =3
Step-by-step explanation:
Explanation:-
Given f(x) = x² - 1
a)
f(5) = 5² -1 = 25-1 =24
b)
put y = f(x) = x² - 1
⇒ y = x² - 1
⇒ x² = y + 1
⇒ x = √y+1
⇒ f⁻¹ ( y ) = √y+1 ( ∵ f⁻¹ ( y) =x)
The inverse of given function
f⁻¹ ( x ) = √x+1
c) put x=8
f⁻¹ ( 8 ) = √8+1 = √9 =3
