Answer:
f(g(3)) = 3
Step-by-step explanation:
We are told to solve for f(g(3)). This is also saying f of g of 3.
To find f(g(3)), we need to plug 3 in for x in g(x), since it says g(3).
g(x) = 3(3) - 4
Solve.
= 9 - 4
g(x) = 5
Now, we plug that into f(x), because g(x) was placed inside f and replaces the x variable of f(x).
f(5) = 2(5) - 7
Solve.
= 10 - 7
f(5) = 3.
f(g(3)) = 3
#teamtrees #WAP (Water And Plant)
The hypotenuse of the two triangles have the same slope because they are in the same straight line and the slope of a straight line is constatn.
You can prove that in this way:
slope = rise / run = Δy / Δx
For the upper triangle: slope = (4 - 2) / (8 - 4) = 2 / 4 = 1 / 2
For the lower triangle: slope = (-1 - (-5)) / (- 2 - (-10)) = 4 / 8 = 1 / 2
So, this proves that the two slopes are the same: 1 / 2
Answer:
Answer:
The y-intercept is -21. The x-intercept is -10.5 or
.
(0, -21) and (-10.5, 0)
Step-by-step explanation:
To find the y-intercept, you would plug in 0 for x.
y = -2x - 21
y = -2(0) - 21
y = 0 - 21
y = -21
The y-intercept is -21.
To find the x-intercept, you would plug in 0 for y.
y = -2x - 21
0 = -2x - 21
2x = -21
x = -21/2
x = -10.5 or 
The x-intercept is -10.5 or
.
If we are given function f(x) vertical translation is done by adding number to end of formula for translation to up or substracting number for translation to down.
f(x) + a OR f(x) - a
Horizontal translation is done by adding number next to x variable for translation to left or substracting number for translation to right.
f(x+a) OR f(x-a)
We need to translate function <span>5 units to the left and 4 units up. That means that we need to add 5 next to x and add 4 to end of function. The result is:
</span>

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</span>