All categories

3 years ago

If 'f(x)=x^2-18' and 'g(x)=(x-9)^(-1)(x+9)', find 'g(x)*f(x)

Mathematics

1 answer:

mezya [45]3 years ago

4 0

The answer I would say would be B.

You might be interested in

Are the equations 9x=5x+4 and 14x=4 equivilant?

Paha777 [63]

Answer:

Step-by-step explanation:

First solve both equations:

1) 9x = 5x + 4

Simplifying

9x = 5x + 4

Reorder the terms:

9x = 4 + 5x

Solving

9x = 4 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

9x + -5x = 4 + 5x + -5x

Combine like terms: 9x + -5x = 4x

4x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0

4x = 4 + 0

4x = 4

Divide each side by '4'.

x = 1

Simplifying

x = 1

2) 14x = 4

14x = 4 (divide both sides by 14 to get x)

14x/14 = 4/14

x = 0.285714285714

As you can see, the value of x in the second equations is less than one, therefore making these algebraic equations not equivalent.

4 0

2 years ago

Read 2 more answers

Melanie has a piece of cloth 12 and 1/3 yards long. How many 3/4 yard-long pieces can be cut from the cloth?

Harrizon [31]

This is a division problem. First, get 12 1/3 into fraction form instead of mixed number form to make your life easier;
$12 \frac{1}{3} = \frac{36}{3} + \frac{1}{3} = \frac{37}{3} 
$
Now, divide the two fractions. Since this is fraction division, the reciprocal is flipped and the two fractions multiplied.
$\frac{37}{3} * \frac{4}{3} = \frac{148}{9} = 16 \frac{4}{9} 
$
The answer from the fraction division is 16 and four-ninths, but because you need a whole number as an answer,
the answer is 16 pieces.

8 0

3 years ago

Read 2 more answers

What is the inverse of f(x)=3x+6 ?

scZoUnD [109]

Answer:

$\boxed{\sf \ \ f^{-1}(x)=\dfrac{x-6}{3} \ \ }$

Step-by-step explanation:

hello,

we can write

$fof^{-1}(x)=x \ and \ fof^{-1}(x)=f(f^{-1}(x))=3f^{-1}(x)+6 \ so\\3f^{-1}(x)+6=x \ \ subtract \ 6\\3f^{-1}(x)=x-6 \ \ divide \ \ by \ \ 3\\ f^{-1}(x)=\dfrac{x-6}{3}$