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3 years ago

Simplify the expression: (26 - 3)(-6) =

Mathematics

1 answer:

Makovka662 [10]3 years ago

7 0

Answer & Step-by-step explanation:

(26 - 3)(-6)

Subtract 3 from 26 first.

(23)(-6)

Now multiply 23 by -6.

-138

So, (26 - 3)(-6) equals -138.

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3 years ago

What is the inverse of the function below? f(x) = 2^x + 6

Helen [10]

The inverse of this function would be f(x) = $\frac{Log(x - 6)}{Log2}$ .

You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.

f(x) = $2^{x}$ - 6 ----> Switch f(x) and x

x = $2^{f(x)}$ - 6 ----> Add 6 to both sides

x + 6 = $2^{f(x)}$ -----> Take the logarithm of both sides in order to get the f(x) out of the exponent

Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2

$\frac{Log(x + 6)}{Log2}$ = f(x) ----> And switch the order for formatting purposes.

f(x) = $\frac{Log(x + 6)}{Log2}$

And that would be your new inverse function.

6 0

3 years ago

Read 2 more answers

Given f(x) = | – 5 – 4x| ,find the following:

jasenka [17]

Answer:

$f(10) = 35 \\ \\ f( - 11) = 39 \\ \\ f(12) = 53 \\ \\ f(2) = 13$

Step-by-step explanation:

$f(x) = | - 5 - 4x|$

To solve for the following substitute the value of x in the brackets into the above formula and solve for the value of x

NB:  Absolute value of a negative number is the same number but positive.

So we have

$f( - 10) = | - 5 - 4( - 10)| \\ = | - 5 + 40| = 35 \\ \\ f( - 11) = | - 5 - 4( - 11)| \\ = | - 5 + 44| = 39 \\ \\ f(12) = | - 5 - 4(12)| \\ = | - 5 - 48| \\ = | - 53| = 53 \\ \\ f(2) = | - 5 - 4(2)| \\ = | - 5 - 8| = | - 13| \\ = 13$

Hope this helps you

6 0

3 years ago

Read 2 more answers