Answer:
A
Step-by-step explanation:
to solve absolute value inequalities you must solve it for when the absolute value is positive and then when it is negative
example, |4| = 4 and -4
first solution will be when we're solving for the positive value:
+(-4x+7) ≥ 27
-4x + 7 ≥ 27
-4x ≥ 20
x ≤ -5 [reverse the symbol when mult or div by a negative]
-(-4x+7) ≥ 27
4x - 7 ≥ 27
4x ≥ 34
x ≥ 34/4 or x ≥ 8 1/2
solution: x ≤ -5 or x ≥ 8.5
Answer:
The function y = sec(x) shifted 3 units left and 7 units down .
Step-by-step explanation:
Given the function: y = sec(x)
- If k is any positive real number, then the graph of f(x) - k is the graph of y = f(x) shifted downward k units.
- If p is a positive real number, then the graph of f(x+p) is the graph of y=f(x) shifted to the left p units.
The function
comes from the base function y= sec(x).
Since 3 is added added on the inside, this is a horizontal shift Left 3 unit, and since 7 is subtracted on the outside, this is a vertical shift down 7 units.
Therefore, the transformation on the given function is shifted 3 units left and 7 units down
Answer:
see below
Step-by-step explanation:
The parent function is x^2 which is a parabola at vertex (0,0)
g(x) = ( x+3) ^2
y = f(x + C) C > 0 moves it left
So the parabola is shifted to the left 3 units
h(x) = -( x+3) ^2
y = −f(x)
Reflects it about x-axis
Means flip it about the x axis
Answer:
For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)
(f o g)(x) = f(g(x))
= 2 (g(x)) + 3
= 2( -x 2 + 1 ) + 3
= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)
Step-by-step explanation:
If 3+11÷15=3.73333 then 4+7÷5 will equal 5.4,I think