Monday

December 22, 2014

December 22, 2014

Posted by **Jessie** on Monday, January 28, 2013 at 10:54am.

y=12^19x+7 as a composition of two functions the outer of which is an exponential function,we would let

u be equal to the inner function,

u=19x+7,

and then write y as a function of u, as follows: y= ???

.

(b) In order to express the function

P=sqrt10t^8+2,as a composition of two functions the outer of which is a root function, we would let u be equal to the inner function, u=10t^8+2, and then write P as a function of u, as follows:

P=???

.

(c) In order to express the function w=3ln(2r-4 )as a composition of two functions the outer of which is a logarithmic function, we would let

u be equal to the inner function,

u=2r-4,and then write w as a function of u, as follows: w= ???

- Calculus -
**Steve**, Monday, January 28, 2013 at 10:58ama) man, they already did have the work. Substitute u=19x+7, and you have

y(u)=12^u

b) P(u)=√u

c) w(u) = ln(u)

- Calculus -
**Jessie**, Monday, January 28, 2013 at 10:59amI actually figured out what u was equal to in each of the problems. I just wasn't sure how to answer the rest of the question. But thank you!

- Calculus -
**Steve**, Monday, January 28, 2013 at 11:02amAs far as I can tell, there is no rest of the question. Each parts asks how to write y,p,w as a function of u.

What is it that still bothers you? If

u(x) = 19x+7

v(x) = 12^x

y(x) = (u◦v)(x)

- Calculus -
**Jessie**, Monday, January 28, 2013 at 11:04amOh, no no. I was able to figure it out based on what you showed me.

You were just surprised that each problem already had the work, and I was simply saying that I was able to figure that part of the question out.

I just wasn't sure how to write the equations as a function of u.

Thank you for your help. I understand it now!

- Calculus -
**Jessie**, Monday, January 28, 2013 at 11:05amLong story short - I did the hard work, and I didn't think the second part of the question would be that easy, haha.

**Answer this Question**

**Related Questions**

Math - Redo problem 13 from section 1.8 of your textbook (page 62), but use the ...

math - (a) In order to express the function y = 1010 x + 4, as a composition of ...

Math - a) In order to express the function y = 1311 x − 4, as a ...

Math22 - 1. Write the composite function in the form f(g(x)). [Identify the ...

calculus please help asap - true or false questions: a)The derivatives of the ...

Pre-Calculus/Trigonometry - Express the following function, F(x) as a ...

Calculus - I finished this problem but I wanted some feedback because I don't ...

Calculus. I need help! - Write the composite function in the form f(g(x)). [...

pre calc - The Identity Function The Squaring Function The Cubing Function The ...

Calculus - F(x) = 1-x and g(x) = 1/x These functions have the property that f = ...