The solution to that if x2 means x to the second power (which should be written like this x^2) is x=5
<h3>
Answer: choice 4. f(x) and g(x) have a common x-intercept</h3>
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Explanation:
For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.
The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.
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Side notes:
- Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.
- Choice 2 is not true. Point B is not on the parabola.
- Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.
Answer:
90 hope this helps
Step-by-step explanation:
<h2>
Step-by-step explanation:</h2>
A: f(x)=8x-2
1. Switch the f(x) to y
y=8x-2
2. Switch y to x and x to y
x=8y-2
3. Solve for y:
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1. Add 2 to both sides.
x=8y-2
+2 +2
2. Divide both sides by 8.
x+2=8y
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8 8
1/8x+1/4=y
3. Write in f-inverse form
f^-1(x)=1/8x+1/4
B: g(x)=2/3x+6
1. Switch the g(x) to y
y=2/3x+6
2. Switch y to x and x to y
x=2/3y+6
3. Solve for y:
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1. Subtract 6 from both sides.
x=2/3y+6
-6 -6
2. Multiply both sides by 3/2 (to cancel out the 2/3)
x-6=2/3y
2/3x-4=y
3. Write in f-inverse form
g^1(x)=2/3x-4
C: h(x)-4x-12
1. Switch the h(x) to y
y=-4x-12
2. Switch y to x and x to y
x=-4y-12
3. Solve for y:
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1. Add 12 to both sides.
x=-4y-12
+12 +12
2. Divide both sides by -4
x+12=-4y
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-4 -4
-1/4x-3=y
3. Write in h-inverse form
h^2(x)=-1/4/x-3
The equation that is represented by the graph below is y = e^x - 4.
<h3>How to illustrate the graph?</h3>
From the graph, it can be seen that the only exponential function n to hat intercept the function at equal to 3 is y = e^x - 4.
Let's equate y to 0.
y = e^x - 4.
e^x - 4 = 0
e^x = 4
In(e^x) = In(4)
x = 1.386
The x intercept is located at (1.386, 0).
In conclusion, the correct option is D.
Learn more about graph on:
brainly.com/question/12886416
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