All categories

2 years ago

Find f(g(x)) simplify completely f(x)= 5x+11 g(x)= 3x+2

Mathematics

2 answers:

KATRIN_1 [288]2 years ago

8 0

Answer:

f(g(x)) = 5(3x + 7)

Step-by-step explanation:

f(x) = 5x + 11
g(x) = 3x + 2

Solving f(g(x))

f(g(x))
f(3x + 2)
f(3x + 2) = 5(3x + 2) + 11
f(3x + 2) = 15x + 10 + 11
f(3x + 2) = 15x + 21
f(3x + 2) = 5(3x + 7)
f(g(x)) = 5(3x + 7)

Stels [109]2 years ago

5 0

Answer:

$f(g(x)) = 3(5x + 7)$

Step-by-step explanation:

Step 1: State the eqautions

$f(x) = 5x + 11$

$g(x) = 3x + 2$

Step 2: Insert the equation and solve

$f(g(x)) = 5(g(x)) + 11$

$f(3x + 2) = 5(3x + 2) + 11$

$f(3x + 2) = 15x + 10 + 11$

$f(3x + 2) = 15x + 21$

$f(g(x)) = 15x + 21$

Step 3: Simplify completely

$f(g(x)) = 15x + 21$

$f(g(x)) = 3(5x + 7)$

Answer: $f(g(x)) = 3(5x + 7)$

You might be interested in

The base of a triangle is shrinking at a rate of 11 cm/s and the height of the triangle is increasing at a rate of 11 cm/s. Find

Mumz [18]

Answer:

the rate of changes of the area of the triangle

$\frac{dA}{dt} = -11 cm^2 /sec$

Step-by-step explanation:

Explanation :-

The area of triangle( A) = $\frac{1}{2} base X height$ ..........(1)

Let 'b' be the base and 'l' be the length of the triangle

The base of a triangle is shrinking( means decreasing) at a rate of 11 cm/s

that is $\frac{db}{dt} = -11cm/sec$

The height of a triangle is increasing at a rate of 11 cm/s

that is $\frac{dh}{dt} = 11cm/sec$

Given h= 10cm and b = 8cm

The rate of change of triangle

applying uv formula $\frac{d(uv)}{dx} = u( \frac{dv}{dx}) + v(\frac{du}{dx} )$

Differentiating equation (1) with respective to 't'

$\frac{dA}{dt} =\frac{1}{2} ( b(\frac{dh}{dt} )+h ( \frac{db}{dt}))$

substitute all values in above equation, we get

h= 10cm , b = 8cm , $\frac{db}{dt} = -11cm/sec$ and $\frac{dh}{dt} = 11cm/sec$

$\frac{dA}{dt} = 10 (-11) + 8(11 )$

After simplification , we get

$\frac{dA}{dt} =\frac{1}{2} (-110 +88) = -11 cm^2 /sec$

7 0

4 years ago

Read 2 more answers

How many millimeters are in one centimeter?

maks197457 [2]

There are 10 millimetres for every centimetre.

3 0

3 years ago

True or false: the relationship between the number of workers and the number of bars produced is proportional.

ValentinkaMS [17]

Answer:

True

Step-by-step explanation:

5 0

3 years ago

Mr.Mitchell was doing an experiment about gratity he dropped a basketball off the roof of a building 53.9 feet tall . It took hi

IRINA_888 [86]

The basketball fell at rate of 9.8 feet per second

Step-by-step explanation:

The rate is the distance per unit time

Here

Given

Distance = height = h = 53.9 feet

time = t = 5.5 sec

The rate will be given as:

$Rate = \frac{Height}{time} = \frac{h}{t}\\= \frac{53.9}{5.5}\\= 1.78\\$

Hence,

The basketball fell at rate of 9.8 feet per second

Keywords: Division, decimals

Learn more about division at:

#LearnwithBrainly

7 0

3 years ago

Match the graph with its equation.

Assoli18 [71]

Answer is x=-4 second choice

5 0

4 years ago

Read 2 more answers