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4 years ago

Write the inverse function, f^-1 (x), for the function f (x) = 2x + 3

Mathematics

1 answer:

cricket20 [7]4 years ago

6 0

$f(x) = 2x + 3$

$y = 2x + 3$

Subtract the sides of the equation minus 3

$y - 3 = 2x$

Divided the sides of the equation by 2

$\frac{y - 3}{2} = x \\$

So ;

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

_________________________________

And we're done.

Thanks for watching buddy good luck.

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3 years ago

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<h3>What is normal random variables?</h3>

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

$\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}$