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hammer [34]
3 years ago
15

Translate into an algebraic expression: “a increased by b%”

Mathematics
1 answer:
tester [92]3 years ago
5 0

Given:

The given statement is: a increased by b\%.

To find:

The algebraic expression for the given statement.

Solution:

We know that "+" sign is used when a value increased.

It is given that a increased by b\%. So, it can be written as:

a increased by b\%=a+b\%\text{ of }a

                                                             =a+\dfrac{b}{100}\times a

                                                             =a+\dfrac{ab}{100}

Therefore, the required algebraic expression is a+\dfrac{ab}{100}.

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Find the inverse of the given function.
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For this case we must find the inverse of the following function:

f (x) = - \frac {1} {2} \sqrt {x + 3}

We follow the steps below:

Replace f(x) with y:

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We exchange the variables:

x = - \frac {1} {2} \sqrt {y + 3}

We solve for "y":

- \frac {1} {2} \sqrt {y + 3} = x

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We raise both sides of the equation to the square to eliminate the radical:

(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2

We subtract 3 from both sides of the equation:

y = 4x ^ 2-3

We change y by f ^ {- 1} (x):

f ^ {- 1} (x) = 4x ^ 2-3

Answer:f ^ {- 1} (x) = 4x ^ 2-3

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Step by Step:
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