2 years ago

If g(x) is the inverse f(x) and f(x)=4x+12,what is g(x)

Mathematics

1 answer:

Natalka [10]2 years ago

8 0

Answer:

all work is shown and pictured

You might be interested in

the Function h(x)=1/2(x+3)^2+2. How is the graph of h(x) translated from the parent graph of a qaudratic function, f(x)=x^2

Kay [80]

Answer:

Translation of h(x) is 2 unit down, 3 unit right and vertical stretch by 2

Step-by-step explanation:

Given function: $h(x)=\dfrac{1}{2}(x+3)^2+2$

Parent function: $f(x)=x^2$

It is parabolic function.

$h(x)=\dfrac{1}{2}(x+3)^2+2$

Shift 2 unit down

$g(x)=\dfrac{1}{2}(x+3)^2+2-2$

$g(x)=\dfrac{1}{2}(x+3)^2$

Shift 3 unit right

$g(x)=\dfrac{1}{2}(x+3-3)^2$

$g(x)=\dfrac{1}{2}x^2$

Vertical stretch by factor 2

$g(x)=2\cdot dfrac{1}{2}x^2$

$g(x)=x^2=f(x)$

So, Translation of h(x) is 2 unit down, 3 unit right and vertical stretch by 2

6 0

3 years ago

Read 2 more answers

Find the volume of a cylinder with a radius of 3in and a height of 5in.

AysviL [449]

<h2>Given :</h2>

radius (r) = 3 In

height (h) = 5 in

<h2>Solution :</h2>

$\large \boxed{ \mathrm{volume = \pi {r}^{2}h }}$

$\pi \times 3 \times 3 \times 5$

$45\pi \: \: in {}^{2}$

$141.4 \: \: in {}^{2}$

_____________________________

$\mathrm{ \#TeeNForeveR}$

8 0

2 years ago

5. WILL MARK BRAINLIEST!! HELP!

Leni [432]

Answer:

I believe your answer would be A.

Step-by-step explanation:

6 0

3 years ago

Can someone answer 5,6,7? can you also tell me how to solve them so i can do better in the future?

Alborosie

Like this , this is the rules of index

6 0

3 years ago

Read 2 more answers

Figure BCDE was transformed using the composition rx-axis ◦ T2,2. If point B on the pre-image lies at (3, 4), what are the coord

____ [38]

Answer:

The answer is "(5, -6)"

Step-by-step explanation:

Given:

The Pre-image line at point B is: (3, 4)

Solution:

$\ rx-axis \circ \ T2,2 (3,4) \\\\\Rightarrow \ rx-axis \ ( T2,2 (3,4) )\\\\ \Rightarrow \ rx-axis ( 5,6 ) \\\\ \Rightarrow (5, -6)\\$

The coordinates of B point is (5,-6).

5 0

2 years ago

Read 2 more answers