Domain: all reals, (-∝, ∝)
All inputs for x result in a solution.
Answer:
39
Step-by-step explanation:
f(x)=17x
f(3)=17(3)
f(x)=51
g(x)=4x
g(3)=4(3)
g(x)=12
f(x)-g(x)
51-12= 39
Answer:
y = -5/4x - 4
Step-by-step explanation:
The equation they give you is in slope intercept form. y=mx+b. The m is the slope (-5/4). Since they want a parallel line you keep the same slope for point slope form. Point slope formula is y-y1=m(x-x1). the y1 and x1 are where you plug in the coordinates they give you.
y - 1 = -5/4x (x + 4)
y - 1 = -5/4x - 5
y = -5/4x - 4
Answer:
We can define a horizontal dilation/contraction of scale factor A, as:
g(x) = f(x*A)
if A > 1, this will be a contraction (it will be steeper)
if 0 < A < 1, this will be a dilation. (it will be less steep)
Then if we have:
g(x) = f(6*x) we have a contraction of scale factor 6, this means that the graph of the parent function will be contracted.
Below, you can see how the graphs change, where:
Blue is f(x) =x
green is g(x) = f(6*x) = 6*x