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docker41 [41]
3 years ago
8

If f(x)=x+6 and g(x)=x^4 find G(F(x))

Mathematics
2 answers:
lyudmila [28]3 years ago
7 0

Answer:

\large\boxed{g(f(x))=(x+6)^4}

Step-by-step explanation:

f(x)=x+6\\\\g(x)=x^4\\\\g(f(x))\to\text{put}\ x+6\ \text{to the equation of}\ g(x)\\\\g(f(x))=(x+6)^4

Novay_Z [31]3 years ago
3 0

You plug in f(x) into where x is within g(x) so you get G(f(x))=(X+6)^4

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A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.
IgorC [24]

Answer:

a = 2

Step-by-step explanation:

Let's find the equation of the line using the 2 points given.

Let's call -1 as x_1 and -5 as y_1

also, 4 as x_2 and 5 as y_2

The equation of line is :

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

<em>Let's plug the points and get the equation of the line:</em>

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y+5=\frac{5+5}{4+1}(x+1)\\y+5=2(x+1)\\y+5=2x+2\\y=2x-3

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

y=2x-3\\1=2(a)-3\\1=2a-3\\2a=4\\a=\frac{4}{2}=2

4 0
3 years ago
Read 2 more answers
Could anyone help me with this problem i'm stuck <br><br> h(17)= ?
nikdorinn [45]

Answer:

\sqrt{17t}

Step-by-step explanation:

Consider the right side of the table

It informs us of the values for h(t) for different values of t

The top one informs us what h(t) is when t = 17, that is

h(t) = \sqrt{17t}, when t = 17, thus

h(17) = \sqrt{17t}

4 0
3 years ago
26 + 58 rounded to the nearest ten​
Tanya [424]

Answer:

80

Step-by-step explanation:

4 0
3 years ago
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The quotient of 2.6 and -2.6 is
Veseljchak [2.6K]

Answer:

-1

Step-by-step explanation:

4 0
3 years ago
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Absolute value equations please help!!!!
Leona [35]

Answer:

#3×|x-9|=0

|x-9|=0

X-9=0

X=9

# |2x-9|-4=2

|2x-9|=2+4

|2x-9|=6

2x-9=6

2x=9=-6

X=15/2

X=3/2

1 to x power =3/2 or

2 to x power =15/2

Step-by-step explanation:

Hope I helped u

4 0
3 years ago
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