find each value if f(X) =2x-1 and g(x) = 2-x^2

Question

G(4)

Answer 1

I assume we're looking for the points where

f(x) = 2x – 1

and

g(x) = 2 – x²

intersect.

f(x) = g(x) gives

2x – 1 = 2 – x²

which means

x² + 2x – 3 = (x – 1)(x + 3) = 0

with solutions x = 1 and x = –3

f(1) = g(1) = 1

f(–3) = g(–3) = –7

Answer

The two intersection points are

(1, 1) and (–3, –7)