Let j(x) = x^2 − 2x + 4. Evaluate the following.(a) j(a)(b) j(3)(c) j(x^2)(d) j(x + 3)(e) j(x + h)?

Answer 1

A.) j(a) = a^2 - 2a + 4

B.) j(3) = (3)^2 - 2(3) + 4 = 9 - 6 + 4 = 7

C.) j(x^2) = (x^2)^2 - 2(x^2) + 4 = x^4 - 2x^3 + 4

D.) j(x+3) = (x + 3)^2 - 2(x + 3) + 4 = x^2 +6x + 9 - 2x - 6 + 4 = x^2 + 4x + 7

E.) j(x+h) = (x + h)^2 - 2(x + h) + 4 = x^2 + 2hx + h^2 - 2x - 2h + 4