Composite Functions

Real Life Application

100

Population of predators is likely to depend on us.

What is prey?

200

The best job you can get is dependant on this.

What is your education?

300

The revenue made on Cd sales over a period of time is dependant on this.

What is number of Cd's sold?

400

The number of votes one party gets in an election is dependant on this.

What is the number of votes the other party gets?

Structure

100

f(x) into g(x)= x+15

What is g(f(x))=(f(x))+15

200

M(x) into N(x)=10 + x^2

What is N(M(x))=10 + (M(x))^2

300

P(x) into q(x)=17x^3 - x

What is q(P(x))=17(P(x))^3 - (P(x))

400

L(x) into k(x)=30x^5 - 4x^2 - x

What is k(L(x))=30(L(x))^5 - 4(L(x))^2 - (L(x))

Solve

100

f(x)=x^2 into g(x)=x + 7

What is g(f(x))=x^2 + 7

200

M(x)=x^2 into N(x)=2x^2

What is N(M(x))=2(x^2)^2 or 2x^4

300

P(x)=2x^3 into q(x)=x^3+x

What is q(P(x))=(2x^3)^3 + 2x^3 or 8x^9 + 2x^3

400

L(x)=x^5 into k(x)=x^5 + x^2 - 7

What is k(L(x))=(x^5)^5 + (x^5)^2 - 7 or x^25 + x^10 - 7

Shape of Graph

100

g(f(x))=x + 6

What is a linear function?

200

g(f(x))=25x^2 – 5

What is a parobala/quadratic function?

300

f(g(x))= 3x^3 – 4

What is a cubic function?

400

f(g(x))=7 - 5x^4

What is a quartic function?