-10 - 14x <== ur expression
Answer:
2+sqrt of 3 divided by 2. or 2-sqrt of 3 divided by 2
or 2.12 and -0.12
hope this helps
Step-by-step explanation:
Hello!
The slope-intercept form is: y = mx + b. In this form, m is the slope and b is the y-intercept.
Since we are given the slope, which is -1/2, and the y-intercept which is (0, -3/4). This means that the value of b is -3/4.
So therefore, the equation of the function is: y = -1/2x + -3/4.
Answer:
Step-by-step explanation:
Given functions are,
f(x) = x³ + 4x²
g(x) = 5x² - 1
(a). (f + g)(x) = f(x) + g(x)
= x³ + 4x² + 5x² - 1
= x³ + 9x² - 1
Since the composite function is defined for all values of x, domain of the function will be (-∞, ∞)
(b). (f - g)(x) = x³ + 4x² - (5x² - 1)
= x³ - x² + 1
Domain of the function : (-∞, ∞)
(c). (f.g)(x) = f(x) × g(x)
= (x³ + 4x²)(5x² - 1)
= 5x⁵+ 20x⁴ - x³ - 4x²
Domain of the function will be (-∞, ∞).
(d).
=
Since this function is not defined at [5x² - 1 = 0] Or x = ±
Therefore, Domain of the composite function will be,
(-∞, -) ∪ ∪ (, ∞)
Answer:
A, B and D
Step-by-step explanation:
The zeros of f(x) are the points located on the x- axis, that is where y = 0
We can check which ones are the solutions by finding the zeros of f(x)
To find the zeros let f(x) = 0 , that is
(x² + 2x - 8)(x - 6) = 0 ← factorise the quadratic
(x + 4)(x - 2)(x - 6) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
x - 6 = 0 ⇒ x = 6
There are 3 zeros at x = - 4, x = 2, x = 6
These are located at A, B and D