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Maru [420]
2 years ago
14

PLEASE HELP AND ANSWER RIGHT AWAY! I'M TERRIBLE AT MATH!

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
7 0
1 \frac{1}{2} = \frac{3}{2}\\\\2 \frac{1}{2} = \frac{5}{2}\\\\\\\\\frac{3}{2} \times \frac{5}{2} = \frac{3\times 5}{2\times 2} = \huge{\boxed{\frac{15}{4}=3\frac{3}{4}}}
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enot [183]

Answer:

The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=\frac{2}{5}x-60

Step-by-step explanation:

An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:

If f(a)=b then f⁻¹(b)=a

That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.

To construct or calculate the inverse function of any function, you must  follow the steps below:

Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values ​​(that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.

You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150

Solving for x:

2.5*x +150=y

2.5*x= y-150

x=\frac{y-150}{2.5}

x=\frac{y}{2.5}-\frac{150}{2.5}

x=0.4y-60=\frac{2}{5}y-60

Exchanging the variable, you obtain that <u><em>the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=</em></u>\frac{2}{5}x-60<u><em></em></u>

7 0
3 years ago
(b-2)x= 8
s344n2d4d5 [400]

Answer:

2

Step-by-step explanation:

(2-2)x = 8

(0)x = 8

x = 8/0

no solution

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3 years ago
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