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Natalija [7]
3 years ago
13

For f(x)=ײ-3 and g(x) 2ײ + -1 what is g[f(x)]

Mathematics
1 answer:
lina2011 [118]3 years ago
7 0

Answer:

Step-by-step explanation:

is g(x) equal to 2x²-1, or 2x²+1 ?

f(x) = x²-3

g(x) = 2x²-1

g(f(x)) = g(x²-3) = 2(x²-3)²-1 =2(x⁴-6x²+9)-1 =

2x⁴-12x²+17

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in a salad with vegetables containing 50 calories dressing is added at 100 calories per ounce. The total number of calories can
Vika [28.1K]

Answer:

Step-by-step explanation:

To get the reasonable range of the situation, we will find the minimum value and maximum value of the calories that can be dressed.

The minimum occur at when x = 0

f(0) = 100(0) +50.

f(0) = 50

Hence the minimum value of the calorie is 50.

The maximum value occur at f'(x)

f'(x)  = 100

Hence the maximum value of the calorie is 100

Hence, the reasonable range for the situation is 50 ≤ x ≤ 100

4 0
3 years ago
To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equati
murzikaleks [220]

Answer:

x-4y+4=0

f(x)=\sqrt x and x=4

Step-by-step explanation:

We are given that a curve

y=\sqrt x

We have to find the equation of tangent at point (4,2) on the given curve.

Let y=f(x)

Differentiate w.r.t x

f'(x)=\frac{dy}{dx}=\frac{1}{2\sqrt x}

By using the formula \frac{d(\sqrt x)}{dx}=\frac{1}{2\sqrt x}

Substitute x=4

Slope of tangent

m=f'(x)=\frac{1}{2\sqrt 4}=\frac{1}{2\times 2}=\frac{1}{4}

In given question

m=\lim_{x\rightarrow a}\frac{f(x)-f(a)}{x-a}

\frac{1}{4}=\lim_{x\rightarrow 4}\frac{f(x)-f(4)}{x-4}

By comparing we get a=4

Point-slope form

y-y_1=m(x-x_1)

Using the formula

The equation of tangent at point (4,2)

y-2=\frac{1}{4}(x-4)

4y-8=x-4

x-4y-4+8=0

x-4y+4=0

8 0
3 years ago
Julia has correctly answered 35 questions from a test, which is 7/12 of the total. How many questions did the test have?
otez555 [7]

Answer:

There are 60 questions on the test

Step-by-step explanation:

Hope this helps :)

4 0
3 years ago
Use the order of<br> operations to evaluate<br> the expression<br> (-8X14)-(-2X-10)
Leviafan [203]

Answer:

the order of operations is .called BODMAS rule

B.brackets

O.of

D.division

M.multiplication

A.addition

S.subtraction

Step-by-step explanation:

= (-112)-(20)

= -132

6 0
3 years ago
A student attempted the work below, identify any errors in each line. If no error is found, describe in words what step was take
AleksAgata [21]
1.No error , he divided by 16 in the 2 sides .
2.no error ,he made sure that 16/16 is one while d/16 remains
3.no error , he square rooted both sides
4.error, as the root gives one positive value and one negative value not only a positive value ,the answer should have been t=+-(d/4)
5.error,he disturbed the whole equation by rooting d only he should have rooted both sides
3 0
3 years ago
Read 2 more answers
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