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3 years ago

Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(-2)).

Mathematics

1 answer:

Eva8 [605]3 years ago

4 0

Answer:

We conclude that:

f(g(-2)) = -3

Step-by-step explanation:

Given

f(x) = 2x + 7

g(x) = x-3

To determine

f(g(-2)) = ?

In order to determine f(g(-2)), first we need to determine g(-2)

so substituting x = -2 in g(x) = x-3

g(-2) = -2 - 3

= -5

Thus,

f(g(-2)) = f(-5)

now substitute x = -5 in the function f(x) = 2x+7

f(x) = 2x+7

f(-5) = 2(-5) + 7

f(-5) = -10 + 7

f(-5) = -3

f(g(-2)) = f(-5) = -3

Therefore, we conclude that:

f(g(-2)) = -3

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ra1l [238]

Answer:

2 cm = 50 km

Find what the rate would be if 2 became 10 by dividing

10/2=5

multiply the 5 with the rate

5 x 50 = 250

250 km apart

hope this helps

Step-by-step explanation:

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3 years ago

To go bowling, it costs $2 to rent shoes and then $3.25 for each game bowled. Which of the following functions gives the total c

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2+3.25g=y
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4 years ago

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3 years ago

100 POINTS HELP ASAP Linear Combination

notka56 [123]

Answer:

1) $x=\dfrac12$

2) $n = -3 \ \ \textsf{and} \ \ m = -4$

3) see below

4) A: 0 = 1

Step-by-step explanation:

Question 1

$15-0.5(4x-2)+4x=17$

$\implies 15-2x+1+4x=17$

$\implies 2x+16=17$

$\implies 2x=1$

$\implies x=\dfrac12$

Question 2

$\textsf{rearrange} \ n=m+1 :$

$\implies -m=-n+1$

$\textsf{add equations} \ -m=-n+1 \ \textsf{and} \ m=2n+2:\\$

$\implies0=n+3$

$\implies n=-3$

$\textsf{substitute} \ \ n=-3 \ \ \textsf{into} \ \ m=n-1:$

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$\implies m=-4$

Question 3

subtract the second equation from the first

divide both sides by -4

substitute found value for y into first equation

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Question 4

$3j=k$

$k=3j+1$

$\textsf{rearrange} \ 3j=k :$

$\implies -k=-3j$

$\textsf{add equations}\ -k=-3j \ \ \textsf{and}\ \ k=3j+1:$

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2 years ago

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igor_vitrenko [27]

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Step-by-step explanation:

Divide by 12=

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4 years ago

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