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andrew11 [14]
3 years ago
14

Graph the functions on the same coordinate plane. f(x)=7 g(x)=x2+2x−8 What are the solutions to the equation f(x)=g(x)? Select e

ach correct answer. −5 −3 3 5 7
Mathematics
1 answer:
yanalaym [24]3 years ago
3 0
You just have to set f(x) = g(x), in this case,
f(x) = 7 
g(x) = x2+2x-8
so
7 = x2+2x-8
Doing a bit of mathematcial magic, you get 
x2+2x-15=0 you can now graph this equation
In doing so, you get x = -5 and x = 3.
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Read 2 more answers
If f(x) = 2x2 and g(x)= x2 + 2x, which expression represents f(g(x))?
andre [41]

Answer:

f(g(x)) = 2(x^2 + 2x)^2

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Step-by-step explanation:

Given;

f(x) = 2x^2

g(x) = x^2 + 2x

To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).

f(g(x)) = 2(g(x))^2

f(g(x)) = 2(x^2 + 2x)^2

Expanding the equation;

f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)

f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)

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f(g(x)) = 2x^4 + 8x^3 + 8x^2

Hope this helps...

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