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guapka [62]
3 years ago
9

Calculus question....does anyone know how to solve this?

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0
h(x)=(f\circ g)(x)
\sqrt{x+5}=\sqrt{g(x)+2}
x+5=g(x)+2
g(x)=x+3

Just to check this is correct:

(f\circ g)(x)=f(g(x))=f(x+3)=\sqrt{(x+3)+2}=\sqrt{x+5}=h(x)
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Which expression is equivalent to 7(d+3)-3= A.7d B. 7d+18 C. 7d+21 D. 10d-3
BaLLatris [955]

Answer: B. 7d + 18

Step-by-step explanation:

7 ( d + 3 ) - 3

expanding , we have :

7d + 21 - 3

= 7d + 18

7 0
3 years ago
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
coldgirl [10]
Answer: 1

f(x) = \frac{1}{3x}
g(x) = \frac{1}{3x}+1

g(x) is in the form f(x)+k where k = 1. To go from f(x) to g(x), shift the entire graph up 1 unit.
3 0
3 years ago
For which values of a the system has at least one solution: x≤7 x≥a urgent pls help now
allochka39001 [22]

Answer:

We have the system:

x ≤ 7

x ≥ a

Now we want to find the possible values of a such that the system has, at least, one solution.

First, we should look at the value of a where the system has only one solution:

We can write the 2 sets as:

a ≤ x

x ≥ 7

So, writing both together:

a ≤ x ≤ 7

if a is larger than 7, we do not have solutions.

then a = 7 gives:

7 ≤ x ≤ 7

Here the only solution is 7.

Now, if a is smaller than 7, for example 5, we have:

5 ≤ x ≤ 7

Now x can take different values, so we have a lot of solutions.

Then the restrictions for a, such that the system has at least one solution, is:

a ≤ 7.

6 0
4 years ago
Find the slope of the line.
galben [10]

Answer:

0.5

Step-by-step explanation:

From the figure the line passes through the points (0,2) and (4,4).

The slope of the line that passes through the points (x_1,y_1) and (x_2,y_2) is always

m=\dfrac{y_2-y_1}{x_2-x_1}.

Therefore, the slope of the graphed line is

m=\dfrac{4-2}{4-0}=\dfrac{2}{4}=\dfrac{1}{2}=0.5.

7 0
3 years ago
Help me please pretty plese
noname [10]
The answer would be 9
4 0
3 years ago
Read 2 more answers
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