Step-by-step explanation:
f(g(x))
= f(4x)
= (4x) - 3. (A)
Answer:
y = -
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept fprm is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 7 is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = -
x + c ← is the partial equation of the perpendicular line
To find c substitute (3, - 4) into the partial equation
- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3
y = -
x - 3 ← equation of perpendicular line
Hello! The x-intercept is where the line crosses the x-axis when y = 0. We already have the expression shown. We will plug in 0 as y to get this:
5x - 8(0) = 40.
As you probably know, anything times 0 is 0, so -8 * 0 is 0. All we have is 5x = 40. Divide each side by 5 to isolate the x. 5x/5 cancels out. 40/5 is 8. There. x = 8. The x-intercept is (8, 0).
F(x) = k(x+2)(2x-1)(x-3), where k is some constant
= k(2x^3-3x^2-11x+6)
= k(-2x^3+3x^2+11x-6)
k defines some vertical stretch, so there are an infinitely many solutions for f(x).
Add 20, 19, and 17 when you get the sum of that then subtract the sum with 13 and you should get the answer which will be 43.