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3 years ago

F(x)=x+4 and g(x)=x^2-1, what is (gof)(x)?

Mathematics

1 answer:

Mila [183]3 years ago

7 0

G[f(x)]= g(x+4)

=(x+4)^2-1
=(x+4)(x+4)-1
=x^2+8x+16-1
Answer=x^2+8x+15

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Two polarizers are arranged as shown. How much light will reach point X?

d1i1m1o1n [39]

Answer: C) 50%

Step-by-step explanation:

If the polarizes are parallel, then it will be 0%. But if they're both perpendicular than it will be 50%. If they are neither parallel nor perpendicular, than it will be less than 50% and greater than 0%

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4 years ago

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Please help me please please please.

faust18 [17]

Which one you need G!?!?

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4 years ago

The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

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3 years ago

71+50+6x-1=180<br> excuse the 121

UNO [17]

Answer:

9 1/3

Step-by-step explanation:

That is wrong i tried to answer it but messed up so don't use it

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3 years ago

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The adams family is remodeling their family room. the room measures 14 feet by 20 feet, and the contractor wants $35 per square

OverLord2011 [107]

14 * 20 = 280 sq ft
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4 years ago

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