All categories

2 years ago

Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for f(h(x)).

Mathematics

1 answer:

sdas [7]2 years ago

8 0

<h3>Answer: f( h(x) ) = 2x - 4</h3>

Work Shown:

f(x) = x - 7

f( h(x) ) = h(x) - 7

f( h(x) ) = 2x+3 - 7

f( h(x) ) = 2x - 4

Explanation:

In the second step, I replaced every x with h(x). In the next step, I replaced the h(x) on the right hand side with 2x+3. From there I combined like terms.

You might be interested in

Write the equation of the line passing through the point (-4 "-7)" and (8 "-17)"

kicyunya [14]

Answer:

$y = -\dfrac{5}{6} x -\dfrac{31}{3}$

In order to find equation:

<u>Find slope</u>:

$\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{rise}{run}$

$\rightarrow \sf slope: \dfrac{-17-(-7)}{8-(-4)}$

$\rightarrow \sf slope: -\dfrac{5}{6}$

Then find equation using:

y - y1 = m(x -x1) where (x1, y1) are points, m is slope

$\sf \rightarrow y - (-17) = -\dfrac{5}{6} (x - 8)$

$\sf \rightarrow y = -\dfrac{5}{6} x + \dfrac{20}{3} -17$

$\sf \rightarrow y = -\dfrac{5}{6} x -\dfrac{31}{3}$

5 0

1 year ago

True or false<br> The solution to the inequality 5x+2<175x+2<17 is x<3x<3.

Aloiza [94]

Answer:

I believe it is true. So sorry if it's not.

7 0

2 years ago

X minus 2 is equal to 7

Lerok [7]

X = 9

Add both values 7 + 2 = 9, which is x.

9 - 2 = 7.

4 0

1 year ago

Solve the following by elimination method <br> 11x+15y+23=0 and 7x-2y-20=0

mr Goodwill [35]

Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)

Multiply equation (1) by 2:
22x + 30y + 46 = 0

Multiply equation (2) by 15:
105x - 30y - 300 = 0

Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]

Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3

Therefore, x = 2 and y = -3.

7 0

2 years ago

Question 18 plz help <3

Karolina [17]

Answer:

Step-by-step explanation:

3 0

2 years ago