3 years ago

Show the work, please.

Mathematics

1 answer:

Nataliya [291]3 years ago

8 0

Can I get a better pic

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Let f(x)=3x2−5x+13 and g(x)=2x−7 . What is g(f(x)) ?

grigory [225]

Option B: $6x^2-10x+19$ is the correct answer

Step-by-step explanation:

Given functions are:

$f(x) = 3x^2-5x+13\\g(x) = 2x-7$

We have to find g(f(x))

So,

$g(f(x)) = 2(f(x))-7\\= 2(3x^2-5x+13)-7\\=6x^2-10x+26-7\\= 6x^2-10x+19$

Hence,

Option B: $6x^2-10x+19$ is the correct answer

Keywords: Functions, Composition

Learn more about functions at:

#LearnwithBrainly

7 0

3 years ago

I need help asap please

rjkz [21]

Answer:

$x = -\frac{3}{2}$ or $x = 1$

Step-by-step explanation:

Using the zero product property, first step is to set the given equation, $2x^2 + x - 1 = 2$ , to zero. Then factorise the left side.

Thus,

$2x^2 + x - 1 = 2$

Subtract 2 from both sides

$2x^2 + x - 1 - 2 = 2 - 2$

$2x^2 + x - 3 = 0$

Factorise the left side

$2x^2 + 3x - 2x - 3 = 0$

$x(2x + 3) - 1(2x + 3) = 0$

$(x - 1)(2x + 3) = 0$

Find the solution

$x - 1 = 0$

$2x + 3 = 0$

$x = 1$

$2x + 3 = 0$

$2x = -3$

$x = -\frac{3}{2}$

The answer is: $x = 1$ or $x = -\frac{3}{2}$

3 0

3 years ago

Math question, note: there are two answers!!

stiks02 [169]

The answer is A and B. I showed my work below. I hope it makes sense. Let me know if you have any questions.

5 0

3 years ago

It has rained 3/5 inch in 1/4 hour. If it continues to rain at the same rate,how much rain would fall in an hour

Scorpion4ik [409]

Answer:

2 2/5 inches

Step-by-step explanation:

3/5 x 4

3/5 x 4/1

3/5 x 4/1 = 12/5

12/5 = 2 2/5

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2 years ago

Howmany days are their in a year

ra1l [238]

365 days are in a year

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2 years ago

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