MATH SOLVE

4 months ago

Q:
# 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).

Accepted Solution

A:

Step-by-step explanation:k(a) = | -2a + 3 | - 1k(3) = | -2(3) + 3 | - 1 replaced the a with 3 = | -6 + 3 | - 1 = | -3 | - 1 = 3 - 1 = 2g(x) = 4²ˣ⁻¹ + 7g(1) = 4²⁽¹⁾⁻¹ + 7 replaced the x with 1 = 4¹ + 7 = 4 + 7 = 11f(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 | = 5h(x) = -3x + 9h(-1 + x) = -3(-1 + x) + 9 replaced the x with -1 + x = 3 - 3x + 9 = 12 - 3xf(n) = 5n - 1f(-3n) = 5(-3n) - 1 replaced the n with -3n = -15n - 1