Let f(x) = -4x + 7 and g(x) = 10x - 6, find f(g(x)).

Question

A. -40x + 70
 

B. -40x + 64
 

C. -40x + 24
 

D. -40x + 31

Answer 1

f(x) = -4x + 7

g(x) = 10x - 6

 

To get f(g(x)), simply replace the x in f(x) with g(x):

 

f(g(x)) = -4g(x) + 7

 

= -4(10x-6) + 7

 

= -40x + 24 + 7

 

= -40x + 31