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abozer
abozer,
Category: Math Homework
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there is two parts to the question the first problem and then

Customer Question

there is two parts to the question the first problem and then the 2nd one will be displayed after i provide the answer to the first.

f(x)= 10x+6 if 0< x<7
-2xsquared +7 if x> or equal to 7
find f(7)
Submitted: 6 years ago.
Category: Math Homework
Expert:  abozer replied 6 years ago.
Chat Conversation Started
abozer :

Hi,

Customer :

hi

abozer :

The question is asking for f(7)

Customer :

correct

abozer :

7 fits into the second interval, x ≥ 7,

abozer :

Substitute 7 in the second part of the function as follows,

abozer :

= -2(7)^2 + 7

abozer :

= -91

abozer :

Let me know if you have any questions

Customer :

so i dont have to find the answers to both?

abozer :

no.

Customer :

the answer for the wholeproblem is -91

abozer :

yes.

Customer :

ok then its the same problem but now i have to find f(2)

abozer :

2 fits into the first interval, 0 < x < 7,

abozer :

Substitute 2 in the first part of the function,

abozer :

= 10(2) + 6

abozer :

= 26

abozer :

That's it.

Customer :

26

abozer :

Let me know if you have any other questions.

Customer :

are u able to help again or do I need to repost?

abozer :

I can help.

Customer :

f(x)= 9x^3+8x-10 find f(5)

abozer :

f(5) = 9(5)^3 + 8(5) - 10

abozer :

= 9(125) + 40 - 10

abozer :

= 1125 + 40 - 10

abozer :

= 1155

Customer :

f(x)= 9x^3+8x-10

Customer :

find f(-3)

abozer :

f(-3) = 9(-3)^3 + 8(-3) - 10

abozer :

= 9(-27) - 24 - 10

abozer :

= -243 - 24 - 10

abozer :

= -277

abozer :

I appreciate if you accept before asking more questions.

Customer :

yep this last one then i will accept and then i'll repost and maybe you can help me with more.

Customer :

f(x)= 9x^3+8x-10 find f(x+c)

abozer :

Sure.

abozer :

f(x + c) = 9(x + c)^3 + 8(x + c) - 10

abozer :

= 9(x^3 + 3x^2c + 3xc^2 + c^3) + 8(x + c) - 10

abozer :

= 9x^3 + 27x^2c + 27xc^2 + 8x + 8c - 10

abozer :

= 9x^3 + (27c)x^2 + (27c^2 + 8)x + 8c - 10

abozer :

That's it.

abozer :

Let me know if you have any questions.

Customer :

the last line is the final answer

Customer :

i have to solve for the final answer


 


 


 

abozer :

Yes.

abozer :

It is in terms of x and c

abozer :

You can also use the one before the last one.

abozer :

I rearranged in the last step.

Customer :

yeah for some reason that wasnt correct

Customer :

f(x)= 2x+9 divided by xsquared -5x-6 find the domain

abozer :

The denominator cannot be zero.

abozer :

x^2 - 5x - 6 ≠ 0

abozer :

(x - 6)(x + 1) ≠ 0

abozer :

x ≠ 6

abozer :

x ≠ -1

abozer :

So the domain is,

abozer :

{x| all real numbers x ≠ 6 and x ≠ -1}

abozer :

That's the answer.

Customer :

so would i just say real numbers and 6 and -1

Customer :

or just all real numbers

abozer :

all real numbers except 6 and -1.

Customer :

f(x)=2x+6 find f(x+h)

abozer :

You said you were going to accept and repost.

abozer and other Math Homework Specialists are ready to help you