calculus functions

Question

If f= {(0,1),(1,2)}

find h(x)=f(5-3x)- 2

Answer 1

If f has points {(0,1),(1,2)}

find h(x)=f(5-3x)- 2

Equation of f is: slope m=(2-1)/1-0) = 1/1 = 1 y = mx + b = 1x+ 1

Then y = x+1

f(5-3x)-2 = (5-3x +1) -2

f(5-3x)-2 = 4 -3x