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RUDIKE [14]
3 years ago
5

What is the inverse of the function f(x)

Mathematics
1 answer:
Anon25 [30]3 years ago
5 0

Answer:

h(x)= 9x - 18

Step-by-step explanation:

Given

f(x) = \frac{1}{9}x + 2

Required

The inverse

f(x) = \frac{1}{9}x + 2

Replace f(x) with y

y = \frac{1}{9}x + 2

Swap x and y

x = \frac{1}{9}y + 2

Subtract 2

x - 2=  \frac{1}{9}y

Multiply 9

9x - 18 = y

Rewrite as:

y = 9x - 18

So:

h(x)= 9x - 18

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For what real values of s is x^2 + sx + 144 the square of a binomial?
PolarNik [594]

Answer:

The require value for s is 24.

Step-by-step explanation:

We are given that the expression x² + sx + 144 and we have to make it a square of a binomial.

Hence, we have to find the value of s for this purpose.

Now, let us assume that (x + 12)² = x² + sx + 144

⇒ x² + 24x + 144 = x² + sx + 144

⇒ 24x = sx

⇒ s = 24

Therefore, the require value for s is 24. (Answer)

5 0
3 years ago
Please help me on this ratio question I'm stuck​
Pavlova-9 [17]
24/6=4
(6x4)+(2x4)+(3x4)=
24+8+12=44=answer!
5 0
4 years ago
A shopkeeper sold a dressing table for 7512.75 at a profit of 19*1/4% What was the cost price.​
Katarina [22]
Cp=7512.75×[100÷(100+77÷4)]
=7512.75×(100÷119.25)
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c.p=6300
4 0
3 years ago
Simplify.<br> -5x^4(-3x^2+4x-2)
Amiraneli [1.4K]

Answer:

3x^6 - 4x^5 + 2x^4

Step-by-step explanation:

Given

-5x^4 ( -3x^2 + 4x - 2)

Step 1 : open the bracket with -5x^4

-5x^4 * -3x^2= 15x^6

Hint: - * - = +

x^4 * x ^2 = x^ 4+2 = x^6

-5x^4 * + 4x = - 20x^5

Hint: - * + = -

x^4 * x = x^4 + 1 = x^5

(x is always raise to the power of 1 but we don't write it or less it is greater than 1 e.g. 2 , 3 ,4, ..........)

-5x^4 * -2 = 10x^4

Hint: - *- = +

Let's combine the answers

15x^6 - 20x^5 + 10x^4

We can look for a factor that can go through as in that can divide all without a reminder

Factors of

15 - 3 * 5

1 * 15

20 - 4 *5

2 *10

1 * 20

10 - 2*5

1 * 10

Since the factor of 5 is common in all, so we are using 5 to divide through

15x^6 - 20x^5 + 10x^4

Using 5 to divide through

15x^6 / 5 - 20x^5 / 5 + 10x^4 / 5

= 3x^6 - 4x^5 + 2x^4

4 0
4 years ago
What is 4X + 7y =14 in y=form
nydimaria [60]

Answer: y=2

Step-by-step explanation:

5 0
4 years ago
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