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3 years ago

Answer this correct for brainliest and also get a thanks ! Please help!!

Mathematics

1 answer:

natka813 [3]3 years ago

5 0

12 percent of them....

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For f(x)=1/x^2-3, find a) f(3) b) f(2+h) Show/explain work

valentina_108 [34]

$f(x)=\dfrac{1}{x^2-3}\\\\a)\ f(3)\to\text{put x=3 to the equation of the function f}\\\\f(3)=\dfrac{1}{3^2-3}=\dfrac{1}{9-3}=\dfrac{1}{6}\\\\Answer:\ \boxed{f(3)=\dfrac{1}{6}}\\\\b)\ f(2+h)\to\text{put x=2+h to the equation of a function f}\\\\f(2+h)=\dfrac{1}{(2+h)^2-3}\ \ \ |\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\dfrac{1}{2^2+2(2)(h)+h^2-3}=\dfrac{1}{4+4h+h^2-3}=\dfrac{1}{h^2+4h+1}\\\\Answer:\ \boxed{f(2+h)=\dfrac{1}{h^2+4h+1}}$

6 0

4 years ago

II. Let f(x) = 9 – x , g(x) = x2 + 4, and h(x) = x – 2. Compute the following: 7. g(f(12))

Alex17521 [72]

G(f(12))
f(12) = 9 - 12 = -3
g(-3) = (-3)^2 + 4 = 9 + 4 = 13

4 0

3 years ago

Simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2

Novosadov [1.4K]

Simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4

Option d is correct.

Step-by-step explanation:

We need to simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2.

Writing in mathematical form:

$\frac{x^2+6x+8}{x+2}$

Solving:

Factorizing the numerator:

$\frac{x^2+6x+8}{x+2}\\=\frac{x^2+4x+2x+8}{x+2}\\=\frac{x(x+4)+2(x+4)}{x+2}\\=\frac{(x+2)(x+4)}{x+2}\\Cancelling\,\,x+2\,\,forom\,\,numerator\,\,and\,\,denominator:\\=x+4$

So simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4

Option d is correct.

Keywords: Simplifying Expressions

Learn more about Simplifying Expressions at:

#learnwithBrainly

5 0

3 years ago

For s=5 and t=8, 3st²-s²: 3st²-s² =

melomori [17]

Step-by-step explanation:

Given,

s=5

t=8

solution,

= 3st² - s²

= 3*5*8² - 5²

= 3*5*64 - 25

= 960 - 25

= 935

8 0

2 years ago

Answerrr? Please I need help

nadezda [96]

Answer:

Step-by-step explanation:

$f^{3}$ + 11g - 4h

f = 3, g = 2 and h = 7.

Substitute the above values into the expression.

$3^{3}$ + 11 × 2 - 4 × 7

Since there's no addition, subtraction or division signs between 11g and 4h, this basically shows that it is multiplied. Simplify further...

$3^{3}$ is 3×3×3 which equals to 27

11 × 2 equals to 22, and

-4 × 7 = -28

Put all these found values into an expression.

27 + 22 - 28

Use the B.O.D.M.A.S. rule. First we have to add then subtract.

(27 + 22) - 28

49 - 28 = 21

3 0

3 years ago

Read 2 more answers