SOLUTION: Find g(-1) and f(g(-1)). f(x)= x^2-x+2 g(x)=4x-3 g(-1)= f(g(-1))=

Algebra ->  Functions -> SOLUTION: Find g(-1) and f(g(-1)). f(x)= x^2-x+2 g(x)=4x-3 g(-1)= f(g(-1))=      Log On


   

Question 1160152: Find g(-1) and f(g(-1)).
f(x)= x^2-x+2
g(x)=4x-3
g(-1)=
f(g(-1))=
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find g%28-1%29 and f%28g%28-1%29%29
f%28x%29=+x%5E2-x%2B2
g%28x%29=4x-3
g%28-1%29=4%28-1%29-3
g%28-1%29=-4-3
g%28-1%29=-7


f%28g%28-1%29%29=
first find f%28g%28x%29%29
f%28g%28x%29%29=f%28g%28x%29%29
f%28g%28x%29%29=f%284x-3%29
f%28g%28x%29%29=%284x-3%29%5E2-%284x-3%29%2B2
f%28g%28x%29%29=16x%5E2-24x%2B9-4x%2B3%2B2
f%28g%28x%29%29=16x%5E2-28x%2B14
then
f%28g%28-1%29%29=+16%28-1%29%5E2-28%28-1%29%2B14+
f%28g%28-1%29%29=+16%2A1%2B28%2B14+
f%28g%28-1%29%29=+58+