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3 years ago

9. Given f(x) = 7x2 and g(x) = x +1, find f(g(x)). SHOW ALL WORK.

Mathematics

2 answers:

Nezavi [6.7K]3 years ago

8 0

I hope this helps you

f(g(x)) =f(x+1)=7(x+1)^2

f(x+1)=7.(x^2+2x+1)

f(x+1)=7x^2+14x+7

statuscvo [17]3 years ago

5 0

f(g(x)) simply means g(x) is substituted for x in f(x)=7x^2

Since g(x)=x+1, then f(x)=7(x+1)^2

f(x)=7(x^2+2x+1)

f(x)=7x^2+14x+7

So f(g(x))=7x^2+14x+7

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D)) The ratio of the monthly income and expenditure of Sunayana is 5 : 3. If she

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Sunayana's income is ₹25000 and expenditures are ₹15000.

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Let i denote the monthly income and e denote the expenditures.

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$\frac{i+5000}{e-3000}=\frac{5}{2}$

Let's multiply both sides by $(e-3000)$ :

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Since we know that $i=\frac{5}{3}e$ , substitute:

$\frac{5}{3}e+5000=\frac{5}{2}(e-3000)$

So, let's solve for the expenditures. Distribute the right:

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Subtract $\frac{5}{2}e$ from both sides:

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We can use the original ratio to find Sunayana's income:

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Substitute 15000 for e. Evaluate:

$i=\frac{5}{3}(15000)=\text{Rs }25000$

So, Sunayana's income is ₹25000 and expenditures are ₹15000.

And we're done!

Edit: Wrong currency, sorry about that!

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3 years ago

Read 2 more answers

Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also

FinnZ [79.3K]

Answer:

TRUE: A, B, C

False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

A. An angle that measures π/4 radians also measures 45°. TRUE

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B. An angle that measures 180° also measures π radians. TRUE

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C. An angle that measures 60° also measures π/3 radians. TRUE

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D. An angle that measures π/3 radians also measures 30°. FALSE

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