If we know the concepts of transformations and <em>horizontal</em> translation and that f(x) = √x and k = - 2, then the <em>transformed</em> function is g(x) = √(x + 2).
<h3>How to determine the transformed function in terms of its parent function</h3>
The transformation of functions are operations which modify the relationship between input and outputs in a function. The <em>parent</em> function represents a <em>canonical square root</em> function and the <em>transformed</em> function is the consequence of applying a <em>horizontal</em> translation.
This kind of transformation is defined by the following expression:
g(x) = f(x - k) (1)
Where k represents a <em>rightward</em> translation for k > 0.
If we know that f(x) = √x and k = - 2, then the <em>transformed</em> function is g(x) = √(x + 2).
To learn more on transformations: brainly.com/question/11709244
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Answer:
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Step-by-step explanation:
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4t+ 14= 6t/5+ 7
⇒ 4t+ 14= 6/5t+ 7
⇒ 4t -6/5t= 7 -14
⇒ (4 -6/5)t= -7 (distributive property)
⇒ 14/5t= -7
⇒ t= -7/ (14/5)
⇒ t= -5/2
⇒ t= -2.5
Final answer: t= -2.5~
