Question

Consider the two function machines that are placed as shown. Find the final output for 0,5,12.

f(x)=8x

g(x)=x+3

(g°f)(x)

The output for 0 is...
The output for 5 is...
The output for 12 is...

Answer 1

(g*f)(x) = g(f(x))

so here, (g*f)(x) = (8x)+3

now plug in values of x, solve, and enjoy!

Answer 2

\[g(f(x)) = g(8x) = 8x+3\]
\[g(f(0)) = 8(0)+3=3\]
\[(g(f(5))=8(5)+3=43\]
\[g(f(12))=8(12)+3 = 99\]

Answer 3

Thanks for showing me how it works. I can do my other problems like this one now.