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Lana71 [14]
3 years ago
9

If f(x) = -7x+2 and g(x) = square root of x+3, what is (fºg)(-2)?

Mathematics
2 answers:
Degger [83]3 years ago
6 0

Answer:

(fog)(-2)=-5

Step-by-step explanation:

Given

f(x)= -7x+2

and

g(x)= √(x+3)

For finding (fog)(-2), we have to find (fog)(x) first

In order to find (fog)(x) we will put the value of g(x) in f(x) in place of x.

(fog)(x)= -7g(x)+2

Putting the value of g(x)  

(fog)(x)= -7√(x+3)+2

We have to find (fog)(-2), so we have to put at the place of x in the composition

(fog)(-2)= -7√(-2+3)+2

(fog)(-2)= -7√1+2

= -7(1)+2

= -7+2

=-5

So,

(fog)(-2)=-5

Ivahew [28]3 years ago
6 0

For this case we have the following equations:f (x) = - 7x + 2\\g (x) = \sqrt {x + 3}

We must find (f_ {o} g) (x):

By definition of composition of functions we have to:

(f_ {o} g) (x) = f (g (x))

So:

(f_ {o} g) (x) = - 7 \sqrt {x + 3} +2

Now, we find f (g (-2)):

(f_ {o} g) (- 2) = - 7 \sqrt {-2 + 3} + 2 = -7 \sqrt {1} + 2 = -7 + 2 = -5

ANswer:

-5

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Consider the following linear equation.y = -1-Step 1 of 2: Determine the slope and the y-intercept (entered as an ordered pair)
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Recall that a slope-intercept form of a linear equation is

\begin{gathered} y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \end{gathered}

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\begin{gathered} y=-1-\frac{2}{5}x\Longrightarrow y=-\frac{2}{5}x-1 \\  \\ \text{Now that it is in the slope intercept form} \\ y=-\frac{2}{5}x-1 \\ \text{we can determine that the slope is } \\ m=-\frac{2}{5} \\ \text{and the y-intercept is} \\ b=-1 \end{gathered}

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Darin can purchase tile at a store for 0.79 per tile and rent a tile saw for $24. At another store, he can borrow the tile saw f
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Let us denote the number of tiles by T.

In the first store, if Darin bought T tiles, he would need to spend:
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In the second store, if Darin bought T tiles, he would need to spend:
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For the cost to be the same at both stores, it means (measured in $)
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Moving 0.79T over to the left hand side and changing signs:
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Let's check. If he buys 60 tiles in the first store, he spends:
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If he buys 60 tiles in the second store, he spends:
                                               $1.19×60 = $71.40

∴ Darin needs to buy 60 tiles for the cost to be the same at both stores.
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