3 years ago

Find f(g(-4)) and g(f(-4)) using the functions below. f(x) = 2x + 7 g(x) = x2 + 3x - 1

Mathematics

1 answer:

daser333 [38]3 years ago

8 0

Answer:

f(g(-4)) = 13.

g(f(-4)) = -3.

Step-by-step explanation:

g(-4) = (-4)^2 + 3(-4) - 1

= 3.

so f(g(-4))

= f(3)

= 2(3) + 7

= 13.

f(-4) = 2(-4) + 7

= -1.

so g (f(-4))

= g(-1)

= (-1)^2 - 3 - 1

= -3.

You might be interested in

Please help me. these problems<br>

jeyben [28]

Answer:

1st problem:

Converges to 6

2nd problem:

Converges to 504

Step-by-step explanation:

You are comparing to $\sum_{k=1}^{\infty} a_1(r)^{k-1}$

You want the ratio r to be between -1 and 1.

Both of these problem are so that means they both have a sum and the series converges to that sum.

The formula for computing a geometric series in our form is $\frac{a_1}{1-r}$ where $a_1$ is the first term.

The first term of your first series is 3 so your answer will be given by:

$\frac{a_1}{1-r}=\frac{3}{1-\frac{1}{2}}=\frac{3}{\frac{1}{2}=6$

The second series has r=1/6 and a_1=420 giving me:

$\frac{420}{1-\frac{1}{6}}=\frac{420}{\frac{5}{6}}=420(\frac{6}{5})=504$ .

3 0

2 years ago

F(x) = 4x^2+5x-12 evaluate f(-3)

Natali5045456 [20]

F(-3)=4(-3)^2+5(-3)-12
=36-15-12
=36-27
=-9

4 0

3 years ago

What is the quotient of 100 and the sum of b and 24

I am Lyosha [343]

Are you sure this is the COMPLETE problem?

3 0

3 years ago

Does anyone know the answer?

gulaghasi [49]

Answer:

A. g(x) = 42 - 0.6x

Step-by-step explanation:

7 0

3 years ago

What is equivalent expression to 5y^-3?

docker41 [41]

Go follow my insta maddie_hinote_
Go follow nowww reeeeeeeekkk

5 0

2 years ago