Question

HELP WITH THIS MATH PROBLEM 93. Points

Answer 1

Answers:

4;  20;  3x² - 4x + 3; 52;  17

Step-by-step explanation:

f(-1):  replace x in f(x) = x² + 3 with -1:  f(-1)  =  (-1)² + 3 = 4

f(-4) + g(-1) = (-4)² + 3 + 2(-1) + 3  =  16 + 3 - 2 + 3 = 20   (since g(x) = 2X + 3)

3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6  =  3x² - 4x + 3

f(g(2)):  First, evaluate g(2).  It is g(2) = 2(2) + 3 = 7.  Next, use this output, 7, as the input to f(x):    f(g(x)) = (7)² + 3 = 49 + 3 = 52

g(f(2)):  First, evaluate f(x) at x = 2:  f(2) = (2)² + 3 = 7.  Next, use this 7 as the input to g(x):     g(f(2)) = g(7) = 2(7) + 3 = 17

Answer 2

Answer:

4;  20;  3x² - 4x + 3; 52;  17

Step-by-step explanation: