MYTUTOR SUBJECT ANSWERS

206 views

G(x)=x^3 + 1, h(x)=3^x; solve G(h(a))=244

First combine the two functions so that we have an equation for a to solve:

G(h(a)) = (3^x)^3 + 1 = 3^(3x) + 1 = 244

which gives

3^(3x) = 243

Now we can use logarithms in order to solve the equation

log(3^(3x)) = log(243)

but log(3^(3x))=3x*log(3)

so we have x = (log(243))/(3*log(3))

and if we enter this into a calculator we find that x=5/3

Josephine S. GCSE Maths tutor, 13 Plus  Maths tutor, A Level Maths tu...

5 months ago

Answered by Josephine, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

256 SUBJECT SPECIALISTS

£36 /hr

Chris S.

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered: Maths, Spanish+ 1 more

Maths
Spanish
Further Mathematics

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

£20 /hr

Alex D.

Degree: Maths and Philosophy (Masters) - Bristol University

Subjects offered: Maths, Philosophy

Maths
Philosophy

“Now studying Maths and Philosophy at Bristol, I have a great passion for the intricate workings within Maths and the endless possibilities and ideas within Philosophy. I hope that through my tutorials I will be able to pass on some of ...”

MyTutor guarantee

£22 /hr

Will W.

Degree: Mathematics (Bachelors) - Durham University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
.STEP.

“About Me: I am a Maths and Physics student at Durham University, who has always enjoyed understanding complex concepts in these subjects. I also have a passion for sharing this enjoyment. At my previous school, I ran a Maths Club. Thi...”

About the author

£20 /hr

Josephine S.

Degree: Mathematical Modelling (Masters) - Birmingham University

Subjects offered: Maths, Physics

Maths
Physics

“Hello, I am currently a masters student at Birmingham University studying Mathematical Modelling. At school I used to love my maths and science lessons (actually I was a bit of a geek and loved them all) and also would often help my f...”

MyTutor guarantee

You may also like...

Other A Level Maths questions

Using logarithms solve 8^(2x+1) = 24 (to 3dp)

Integrate x*ln(x)

Polynomial long division, how do I do it?

How do you derive the quadratic formula?

View A Level Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok