Let f(x)=2x-1 and g(x)=x^2 -3. Find (f o g)(-3)

1 answer:

6 0

(f o g)(-3) = (f(g(-3))
Because g is on the inside, we carry out g first.

g(x) = x^2 - 3
Substitute -3 in for x.
g(-3) = (-3)^2 - 3 = 9 - 3 = 6
g(-3) = 6

Next, carry out f on the result of g(-3)
f(6) = 2(6) - 1
= 12 - 1
= 11
So the answer is 11.

You might be interested in

A number is divided in the ratio 3:4. If the first part is 24, find the number.

dedylja [7]

Answer:

Step-by-step explanation:

<h3>Let the other part be x.</h3>

<h3>Other part = 32</h3>

<h2>mark me brainlist!</h2>

5 0

2 years ago

I always feel guilty about venting. I always feel like I shouldn't because someone is always going through something worse right

PilotLPTM [1.2K]

Answer:

yup

Step-by-step explanation:

I total agree with you on this. for me it took finding a true friend who cared about me more than I care about myself at the time. she really listened to my problems and helped me work through them

5 0

3 years ago

Read 2 more answers

What is the value of x in the circle below? If necessary round your answer to the nearest tenth. I AM FAILING THIS CLASS I JUST

emmainna [20.7K]

Since we know that the 38 is being bisected (which we can tell by the fact that the line hits it perpendicularly), we know that from the intersection to the edge of the circle is 19. From this we can create a right triangle in which the legs are 10 and 19 and the hypotenuse is a radius of the circle. Since x is also a radius of the circle, all we have to do is use that information to find the hypotenuse using the Pythagorean Theorem and we have x.

Pythagorean Theorem
$a^{2}$ + $b^{2}$ = $c^{2}$
$10^{2}$ + $19^{2}$ = $x^{2}$
100 + 361 = $x^{2}$
461 = $x^{2}$
x = $\sqrt{461}$ or about 21.47