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Snowcat [4.5K]
4 years ago
7

Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = three-quartersx h(x) = one-quarterx

Mathematics
2 answers:
aalyn [17]4 years ago
8 0

Answer:

\large\boxed{f^{-1}(x)=h(x)=\dfrac{1}{4}x}

Step-by-step explanation:

f(x)=4x\to y=4x\\\\\text{exchange}\ x\ \text{to}\ y\to x=4y\\\\\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x}{4}\\\\y=\dfrac{1}{4}x

morpeh [17]4 years ago
4 0

Answer: D. h[x]=1/4x

Step-by-step explanation:

f(x) = 4x  or y = 4x

Its inverse is obtained by switching the variables and solving for y.

x = 4y

y = (1/4)x

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Please help asap !!!​
Illusion [34]

Answer: 2.)non function 3.)non function 4.) function 5.)non function 6.) non function 7.)function 8.)non function PART B 1.)non function 2.)function 3.) function

Step-by-step explanation: a function is when the domain (x) all each have one answer like (-2.6)(7,4)(8,6) there can be repeating ranges (y) just not domains.

A non function is when one domain (x) has multiple ranges(y) like (7,2)(-9,6)(7,9) the 7 repeats twice giving it two ranges, which causes it to be non functional. hope that helped :))

6 0
3 years ago
What multiples to 0 and adds to 8
babunello [35]
8*0=0 and 8+0=8
the answer is 8 and 0



5 0
4 years ago
What is the equation of the ellipse with foci at (5, 0), (-5, 0) and vertices (9, 0), (-9, 0)?
forsale [732]

Answer: \dfrac{x^2}{81}+\dfrac{y^2}{56}=1

Step-by-step explanation:

General equation of ellipse : \dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}

Given: Vertices of ellipse : (± 9,0)

Since the vertices are of the form (± a, 0).

i.e. a=9

Thus, the major axis is along x-axis.

Also, foci of the ellipse = (±5,0)

Since, foci is of the form (± c,0), i.e. c=5

Since

c^2=a^2-b^2\\\\\Rightarrow\ 5^2= 9^2-b^2\\\\\Rightarrow\ b^2=81-25\\\\\Rightarrow\ b^2=56

Equation of ellipse :

\dfrac{x^2}{9^2}+\dfrac{y^2}{56}=1\\\\\Rightarrow\ \dfrac{x^2}{81}+\dfrac{y^2}{56}=1

Hence, the required equation : \dfrac{x^2}{81}+\dfrac{y^2}{56}=1

8 0
4 years ago
3/8 times 4 divided by 5/7
Fantom [35]
<span>0.04285714285 this is your answer </span>
8 0
4 years ago
Read 2 more answers
The measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the value of x.
snow_lady [41]

Answer:

x = 348

Step-by-step explanation:

From the given we can tell it a supplementary angle.

<u>Don't know what supplementary angle is?</u>

<em>Supplementary angle are angles that :</em>

<em>Equal 180 °</em>

<em />

<u><em>Solve:  </em></u>

<em>Since,</em>

<em>∠ABD is (0.18x+54)° </em>

<em>∠CBD is (0.07x+39)°</em>

<em />

<em>Thus,</em>

<em>(0.18x+54) + 0.07x + 39 = 180</em>

<em>Group likes terms:</em>

<em>0.25x + 54 + 39 = 180</em>

<em>0.25 + 93 = 180</em>

<em>Subtract 93 from both sides</em>

<em>0.25x = 87</em>

<em>x = 348</em>

<em />

<em>Check Answer:</em>

<em>0.18(348) + 54 + 0.07(348) + 39 </em>

<em>= 180</em>

<em />

<em />

8 0
2 years ago
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