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Find $C$ when $F$ is $-4^{\circ}$
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Algebra
Chapter 4
Solving Equations
Section 6
Evaluating Formulas
Equations and Inequalities
Oregon State University
McMaster University
Harvey Mudd College
University of Michigan - Ann Arbor
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Okay in this question of function is given that is if X equals to see a raise to the power X. Okay. And we have to find out the value of C and a satisfy the condition that is f of minus one is equal to one by four and f of one is equal to four. Okay, It's a no problem. First of all, we will use this data so that is therefore minus when it comes to one by four. Okay, So it will be won by four is equal to see areas to the power minus one. Or we can seven by four request to see by now we will cross multiply. So from here it will be four C understand. And now we will use the second data that is a phony quest to four. So here it will be four is equals to see areas to the power one or we can say four equals to see. Okay, and now we will use this equation one and we will put the value of equals to four C. Hair. So four equals to see dot is for C. Now we will divide both are the question by four. So it will be one. It was to see square. Okay? And now she will be positive and negative one. Ok? But we can see f of negative one is also positive. Okay? So areas to the power X X is always positive, so she should be positive. Okay? So we will take Sequels to positive one here. Okay? And we will discard the solution Sequels to negative one because when we put equals negative one, this cannot be positive, understand. So at C equals to one, A will be equals to foresee then it will be four multiplied by C. That is one. So it will be four. Okay, So we can say equals to four Sequels to one and the function will be see areas to the power X. That is C is already one. So it will be A that is four and it will be four X to the Power X. Okay, so this will be the final answer of discussion. I'm writing down all the values here. Okay, equals to four Sequels to one and function. It it will be four raised to live our X. This will be the final answer of this question. Thank you.
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