440,609 views
36 votes
36 votes
F(x) = x^2 -7x +14, g(x) = 4x -9

Find (g ° f)(x)

User Divyang Panchal
by
2.3k points

1 Answer

16 votes
16 votes

Answer:

Set up the composite result function.

g(F(x)) Evaluate g(x2−7x+14)

by substituting in the value of F into g.

g(x2−7x+14)=4(x2−7x+14)−9

Simplify each term.

g(x2−7x+14)=4x2−28x+56−9

Subtract 9 from 56.

g(x2−7x+14)=4x2−28x+47

Explanation:

User Nocturnal
by
2.2k points