Question

F(x)=-3x+1
g(x)=-4x²+x+2
Find g(f(x))

Answer 1

f(x)=3x−1 [ Given ]

⇒ f(0)=3(0)−1

∴ f(0)=−1

Now,

f(0)+2=−1+2

∴ f(0)+2=1 ---- ( 1 )

g(x)=4x+2

⇒ g(f(0)+2)=g(1) ..... [ From ( 1 ) ]

⇒ g(f(0)+2)=4(1)+2

⇒ g(f(0)+2)=4+2

∴ g(f(0)+2)=6