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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 :

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.