Question

Find g(4) and f(g(4))
f(x)=x^2-x+1
g(x)= 3x-5

Answer 1

g(4) = 7 and f(g(4)) = 43

Explanation:

First find g:

g(x) = 3x-5

g(x) = 3(4) - 5

g(x) = 12 - 5

g(x) = 7

Plug in:

f(g(4))

f(7)

Now, find f:

7^2 - 7 + 1

49 - 7 + 1

42 + 1

f(x) = 43