Answered

composition of function
Find and simplify the functions.
f(x)=x-2
g(x) =2x ²+3x + 4

1. (g o f) (x)
2.(h o g) (x)

Find and simplify.
g(x) =x - 1
f(x) =2x +1
h(x)=x²-2x +2

1. (g o f) (x)
2.(h o g) (x) ​

Sagot :

Answer:

1. (g o f) (x) = g[f(x)]

= g[x-2]

= 2(x-2)²+3(x-2)+4

= 2(x²-4x+4)+3(x-2)+4

= 2x²-8x+8+3x-6+4

= 2x²-5x+8-6+4

= 2x²-5x+6

Find and simplify

1. (g o f) (x) = g[f(x)]

= g[2x+1]

= (2x+1)-1

= 2x+1-1

= 2x

2. (h o g) (x) = h[g(x)]

= h[x-1]

= (x-1)²-2(x-1)+2

= x²-2x+1-2x+2+2

= x²-4x+1+2+2

= x²-4x+5