Evaluate each function.

k(a) = |-2a + 3| - 1; find k(3).

g(x) = 4^2x-1 + 7; find g(1).

f(x) = |8x^2 - 5x + 3|; find f(-2).

h(x) = -3x + 9; find h(-1 + x).

f(n) = 5n - 1, find f(- 3n).

Step-by-step explanation:

k(a) = | -2a + 3 | - 1

k(3) = | -2(3) + 3 | - 1        replaced the a with 3

      = | -6 + 3 | - 1

      = | -3 | - 1

      =    3   - 1

      = 2

g(x) = 4²ˣ⁻¹ + 7

g(1) = 4²⁽¹⁾⁻¹ + 7                 replaced the x with 1

      = 4¹ + 7

      = 4 + 7

      = 11

f(x) = | 8x² - 5x + 3 |

f(-2) = | 8(-2)² - 5(-2) + 3 |        replaced the x with -2

      = | 8(4) - 10 + 3 |

      = | 12 - 10 + 3 |

      = | 5 |

      = 5

h(x) = -3x + 9

h(-1 + x) = -3(-1 + x) + 9          replaced the x with -1 + x

            = 3 - 3x + 9

            = 12 - 3x

f(n) = 5n - 1

f(-3n) = 5(-3n) - 1                 replaced the n with -3n

        = -15n - 1