let fxx2 x1 and gx6x Let f x x2 x 1 and gx 6x 7 Find g

Let f (x) = x^2 - x - 1 and g(x) = 6x - 7. Find g (1) and f (g(1)). g (1) = (Simplify your answer.) f (g (1)) = (Simplify your answer.)

Solution

g(1) = 6(1) - 7
= 6 - 7
= -1

Now, f(g(1)) becomes :
f(-1)
(-1)^2 - (-1) - 1
1 + 1 - 1
2 - 1
1

So, answers :
g(1) = -1
f(g(1)) = 1