Answer:
Simplifying
9x + 7 = 5x + -3
Reorder the terms:
7 + 9x = 5x + -3
Reorder the terms:
7 + 9x = -3 + 5x
Solving
7 + 9x = -3 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
7 + 9x + -5x = -3 + 5x + -5x
Combine like terms: 9x + -5x = 4x
7 + 4x = -3 + 5x + -5x
Combine like terms: 5x + -5x = 0
7 + 4x = -3 + 0
7 + 4x = -3
Add '-7' to each side of the equation.
7 + -7 + 4x = -3 + -7
Combine like terms: 7 + -7 = 0
0 + 4x = -3 + -7
4x = -3 + -7
Combine like terms: -3 + -7 = -10
4x = -10
Divide each side by '4'.
x = -2.5
Simplifying
x = -2.5
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Step-by-step explanation:
Answer: C) x = 2
2^{2x + 2} = 2^{3x}
Since both terms (above) have the same base, set the exponents to be equal:
2x + 2 = 3x (Rearrange to solve for x)
x = 2
∴ x = 2
Answer:
![f(x) =\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%5Csqrt%5B3%5D%7Bx%7D)
Step-by-step explanation:
Hello!
Considering the parent function, as the most simple function that preserves the definition. Let's take the function given:
![g(x) = \sqrt[3]{x-5}+7](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx-5%7D%2B7)
To have the the parent function, we must find the parent one, let's call it by f(x).
![f(x) =\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%5Csqrt%5B3%5D%7Bx%7D)
This function satisfies the Domain of the given one, because the Domain is still
and the range as well.
Check below a graphical approach of those. The upper one is g(x) and the lower f(x), its parent one.