SOLUTION: For the given functions f and g , find the indicated composition. f(x) = -2x + 5, g(x) = 3x + 2 (g∘f)(x)

Algebra ->  Functions -> SOLUTION: For the given functions f and g , find the indicated composition. f(x) = -2x + 5, g(x) = 3x + 2 (g∘f)(x)      Log On


   



Question 1178605: For the given functions f and g , find the indicated composition.

f(x) = -2x + 5, g(x) = 3x + 2
(g∘f)(x)

Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.

In the formula for the function  g(x),  replace  x  by expression for the function  f(x).



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+-2x+%2B+5
+g%28x%29+=+3x+%2B+2
(gf)(x)=g%28f%28x%29%29
(gf)(x)=g%28-2x+%2B+5%29
(gf)(x)=3%28-2x+%2B+5%29%2B2
(gf)(x)=-6x+%2B+15%2B2
(gf)(x)=-6x+%2B+17