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son4ous [18]
3 years ago
7

If f(x)= 2 x +1 and g( x)= 3 x - 4, find f (g (x ) and g( f(x)).

Mathematics
1 answer:
WINSTONCH [101]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

To evaluate f(g(x)) substitute x = g(x) into f(x)

f(g(x))

= f(3x - 4)

= 2(3x - 4) + 1

= 6x - 8 + 1

= 6x - 7

---------------------------------------------

To evaluate g(f(x)) substitute x = f(x) into g(x)

g(f(x))

= g(2x + 1)

= 3(2x + 1) - 4

= 6x + 3 - 4

= 6x - 1

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I don't get what it is asking me to do
Ksju [112]
What you do here is you input 11 in as a value of x:
t=3n-7\\
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t= 33-7\\\\
t=26
7 0
3 years ago
Base of triangle exceeds the height by 4. If the area is 178.5 square inches, find the length of the base and the height of the
xxMikexx [17]
Area of a triangle:
A= (1/2)(bh)

In this problem we are given:
A= 178.5 in^{2}
b= h+4 in
h= UNKNOWN ("h")

Plug in our values into the area equation and solve for "h":
A= \frac{1}{2} bh
178.5 = \frac{1}{2} ((h+4)h) (multiply each side by 2 to get rid of the 1/2)
357 =  ((h+4)h)
357 =  h^{2} +4h
0=  h^{2} +4h -357
(357/21=17)
0= (h+21)(h-17) (solve both inequalities separately)

0= (h+21)
-21= h ( a negative height is not possible so, this answer is incorrect.)

0=(h-17)
h=17 in

Answer: base = (h+4)= (17+ 4) b= 21 in h= 17in


Please comment with any further questions! :)

5 0
3 years ago
Jonathan and his family went on a backpacking trip. They started hiking at 4:40 P.M. It took 2 hours and 45 minutes to reach the
ivanzaharov [21]
They Started at 4:40 p.m. so that means after setting everything up it was about 7:40 p.m.
4 0
4 years ago
Solve the equation 6+7r=97
allsm [11]

Answer:

R=13

7x13=91

91+6=97

3 0
3 years ago
Read 2 more answers
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love history [14]

Answer:

16

Step-by-step explanation:

4:2

2x4 = 8

4x4=16

7 0
3 years ago
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