Question

If f(x) and f-1(x) are inverse funtions of each other and f(x)=2x+5,what is f-1(8)
A.-1
B.3/2
C.41/8
D.23

Please Explain how you got your answer.Thanks.

Answer 1

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

If f(x) and f-1(x) are inverse funtions of each other and f(x)=2x+5,what is f-1(8)

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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For this first we have to find the inverse of the function which is :

For this we have the function:

f(x)=2x+5

clearing 'x' we have

2x=y-5

$x = \frac{y - 5}{2}$

$= > {f(x)}^{ - 1} = \frac{x - 5}{2}$

Now,solving at x=8

$= > {f(8)}^{ - 1} = \frac{8 - 5}{2}$

$= > {f(8)}^{ - 1} = \frac{3}{2}$

Therefore,$\bold{{f(8)}^{ - 1} } = {\bold{\pink{ \frac{3}{2}}}}$

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Answer 2

Step-by-step explanation:

The Magna Carta gave barons specific rights that the king was not allowed to violate. One of these was the freedom from arbitrary imprisonment. However, these rights did not immediately extend to all the people. The Magna Carta applied mostly to the aristocracy and the Church.