Question

Given f(x) = x^2 - x+1 and g(x) = 2x - 1, find
a) F(5)
b) f(-2a)
c) g(f(3))

Answer 1

a) 21

b) 4a² + 2a + 1

c) 13

Explanation:

f(x) = x² - x + 1

g(x) = 2x - 1

a)

f(5)

= 25 - 5 + 1 = 21

b)

f(-2a)

= (-2a)² - (-2a) + 1

= 4a² + 2a + 1

c)

g(f(3))

f(3) = 9 - 3 + 1 = 7

g(f(3)) = 2(7) - 1 = 14 - 1 = 13