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 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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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
Eighty-three point four hundred and ninety-seven thousandths. Hope this helps!
The student wants to prove they are the same by adding the two systems together, and keeping the second equation the same.
So add these two:
6x - 2y = 3
<u>5x + 3y = 4</u>
11x + y = 7
So the answer will be the last choice:
<span>Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations</span>
so, recall, the function has symmetry when the yielded resulting function resembles the original function, after negativizing the variable(s).
Also recall that minus*plus is minus, and minus*minus is plus.
Answer:
the espression are equivalent
Step-by-step explanation:
4x - 2x + 4 = 2 (x + 2)
2x + 4 = 2x + 4
the espression are equivalent