Question

Let f be a real-valued function with the rule f(x) = x^3+3x^2 +6x+ 14 defined for all real value of x. It isgiven that a and b are two real numbers such that f(a) = 1 and f(b) = 19.

Find the value of (a + b)^2.​

Answer 1

→ Find F
−1
(x),letF
−1
(x)=y
x=
5y−7
3y+4
​
⇒5xy−7x=3y+4
⇒y(5x−3)=7x+4
⇒y=
5x−3
7x+4
​
=g(x)
⇒F
−1
(x)=g(x)
⇒Fog=goF=x

Answer 2

Step-by-step explanation:

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