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3 years ago

Find the domain and range of f(x)=3^x

Mathematics

2 answers:

Margaret [11]3 years ago

6 0

Answer:

Below in bold.

Step-by-step explanation:

x can have any real value - the domain is (-∞, ∞).

f(x) cannot be 0 or negative, no matter how negative x is, - the range is (0, ∞)

Elenna [48]3 years ago

6 0

Answer:

Domain: all real values of x

Range: f(x) > 0

Step-by-step explanation:

f(x) = 3^x

There's no domain restriction, so x can take any real value

Tye graph f(x) has a horizontal asymptote at y = 0 because with a positive base, the output can never be 0 or negative

Hence the range is y > 0

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jonny [76]

Answer:

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Step-by-step explanation:

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3 years ago

Four less than twice the square of x is 124. Which equation can be used to find the value of x?

tester [92]

2x^2-4=124 is the correct answer.

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3 years ago

The base of an isosceles triangle is one and a half times the length of the other two sides.A smaller triangle has a perimeter t

Anna11 [10]

Answer:

Perimeter of the smaller triangle = 1.75x

Step-by-step explanation:

Let the two equal sides of an isosceles triangle = x

Therefore, length of the base = $(1\frac{1}{2})x$

Perimeter of this isosceles triangle = x + x + $(1\frac{1}{2})x$

= 2x + $(1+\frac{1}{2})x$

= 2x + x + $\frac{x}{2}$

= $\frac{5x}{2}$

Since, smaller triangle has a perimeter that is half the perimeter of the larger triangle,

Length of each corresponding side of smaller triangle will be half of the larger triangle.

Length of sides of the smaller triangle = $\frac{x}{2},\frac{x}{2},(1\frac{1}{2})\frac{x}{2}$

Perimeter of the smaller triangle = $\frac{x}{2}+\frac{x}{2}+(1\frac{1}{2})\frac{x}{2}$

= x + $\frac{x}{2}+\frac{x}{4}$

= $\frac{3}{2}x+\frac{x}{4}$

= $\frac{6}{4}x+\frac{x}{4}$

= $\frac{7}{4}x$

= 1.75x

Therefore, expression that represents the perimeter of the smaller triangle is (1.75x)

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3 years ago

A line passes through the point (4,-2) and has a slope of 1/2 what is the value of a if the point (-4,a) is also on the line

Slav-nsk [51]

Answer: The value of a is -6.

Step-by-step explanation:

To do this we need to find the y-intercept first.

-2= 4(1/2) + b

-2=2+ b

-2 -2

b= -4 so now the y-intercept is -4 so we will now have the equation y= 1/2x -4

so now put -4 into the equation for x and solve for y.

y= 1/2(-4) -4

y = -6

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denis23 [38]

93.75 is right answer 20 words so snddnw dwdinwd

8 0

3 years ago

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