Evaluate each function at the indicated values of the independent variable and simplify the result

Question

1. f(x) = 7 - 6x

a.) f(-1)

b.) f(-a)

c.) f(-3+x)

2. g(x) = x² - 3x

a.) g(2)

b.) g(a+b)

c.) g(2-x)

3. h(x) = 4^x

a.) h(3)

b.) h(5)

c.) h(1/2)

Answer 1

f(x) =7-6x

f(-1) = 7-6(-1) = 13

f(-a) = 7-6(-a) = 7+6a

f(-3+x) = 7-6(-3+x) = 7-18-x = -11-x

g(x) = x^2-3x

g(2) = 2^2 -3(2) = 4 -6 = -2

g(a+b) = (a+b)^2 -3(a+b) = a^2 +2ab + b^2 -3a -3b

g(2-x) = (2-x)^2 -3(2-x) = x^2 -4x +4 -6 +3x = x^2 -x -2

h(x) = 4^x

h(3)= 4^3 = 64

h(5)=4^5 = 1024

h(1/2) = 4^1/2 = 2