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3 years ago

If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(4))?

Mathematics

2 answers:

mario62 [17]3 years ago

5 0

Answer is -7

Plug 4 in for g(x) and solve to get x=-7.Plug x=-7 in for f(x).

Aliun [14]3 years ago

4 0

Answer:

-7

Step-by-step explanation:

So we have the two functions:

$f(x)=2x+7\text{ and } g(x)=-3x+5$

And we want to find f(g(4)).

So, find g(4) first:

$g(x)=-3x+5\\g(4)=-3(4)+5$

Multiply:

$g(4)=-12+5$

Add:

$g(4)=-7$

Now, substitute:

$f(g(4))=f(-7)$

Use the equation from f(x):

$f(x)=2x+7\\f(-7)=2(-7)+7$

Multiply:

$f(-7)=-14+7$

Add:

$f(-7)=-7$

So:

$f(-7)=f(g(4))=-7$

And that's our answer :)

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Step-by-step explanation:

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2 years ago

This soda can is going to be made from aluminum. How many square centimeters of aluminum are needed if the radius r = 3.5 cm and

kari74 [83]

208.81 square centimeters of aluminium are needed

Solution:

Given that,

Radius = 3.5 cm

Height = 6 cm

We have to find the square centimeters of aluminum needed

So we have to find the surface area of cylinder

The surface area of cylinder is given by formula:

$A = 2 \pi r(h+r)$

Where "r" is the radius and "h" is the height of cylinder

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8 0

3 years ago

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negat

avanturin [10]

Answer:

Answer:

(5, 20)

Step-by-step explanation:

We can find the slope of the line

m = (y2-y1)/(x2-x1)

= (40-0)/(10-0)

= 40/10

Since the line goes through (0,0) the y intercept is 0

y = mx+b

y = 4x

Lets check the points by substituting into the equation

40, 10) 10 = 4*40 10 =160 no

(–5, –10) -10 = 4*-5 10 = -20 no

(5, 20) 20 = 4*5 20 = 20 yes

(–10, –20) -20 = 4*-10 -20 = -40 no

Step-by-step explanation:

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)

4 0

3 years ago

Read 2 more answers

When you solve the equation x + 1 = 2x for x, the solution is 1. 1) Square both sides of the equation, and verify that your solu

tatiyna

Answer:

(x + 1)² = (2x)²

(1 + 1)² = (2(1))²

2² = 2²

4 = 4

(-1 + 1)² = (2(-13))²

(-12)² = (-26)²

Not true

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saveliy_v [14]

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