Answer:
Step-by-step explanation:
Given
See attachment
Solving (a): (g + f)(2)
This is calculated as:
Calculate g(2) and f(2)
So:
Solving (b):
This is calculated as:
Calculate f(-1) and g(-1)
So:
Solving (c): (g - f)(-1)
This is calculated as:
Calculate g(-1) and f(-1)
So:
Solving (d): (g * f)(2)
This is calculated as:
Calculate g(2) and f(2)
So:
Answer: x only can have complex values, not real values.
x = -1/4 - 1/4i and x = -1/4 + 1/4 i
Explanation:
Finding the possible values of x in the expression given is solving the quadratic equation.
8x² + 4x = - 1
Rearrange the terms:
8 (x² + x/2) = - 1 ← common factor 8 in the left side
x² + x/2 = - 1/8 ← division property
x² + x/2 + 1/16 = - 1/8 + 1/16 ← addition property
(x + 1/4)² = -1/8 + 1/16 ← -factor the perfect square trinomial in the left side
(x + 1/4)² = - 1/16 ← add the fractions in the right side
x + 1/4 = (+/-) √ (-1/16) ← square roots on both sides
x + 1/4 = (+/-) (1/4)i ← complex solution
x = - 1/4 +/- 1/4i
x = - 1/4 - 1/4i and x = - 1/4 + 1/4 i ← answer
She was given 12 quarters. When she had 6x as many quarters in her bank, she had 24 quarters in it. When she had 9x as many, she had 36 quarters in it. 36-24 is 12.
Answer:
18y^3 + 24y^5.
Step-by-step explanation:
6y^3(3 + 4y^2)
= 6*3 y^3 + 6*4 y^(3+2)
= 18y^3 + 24y^5.