Let f(x) = x^2+7 and g(x) = x+ 3 / x. Find (g (circle) f) (-5)

a.) 35/12

b.) 35/32

c.) 32/35

d.) 11/25

I think it is a.

3 answers

Note:
When writing rational expressions (a polynomial divided by another), it is important to insert parentheses around each of numerator and denominator.
The answers are ALL missing parentheses in the numerator and denominator.
In the question,
g(x)=x+3/x would mean (x)+(3/x) instead of (x+3)/x as it is meant to be.

Now
(g.f)(-5) means g(f(-5)) because the original expression is evaluated from right to left.
Substitute -5 for x in f(x) to find f(-5). I.e. find f(-5)=(-5)^2+7.
Then substitute the result as x in g(x) to find the answer.

Please give it another try, either because of the typo, which affects calculations on a calculator, or you have misinterpreted the meaning of (g.f)(-5).
Find (g (circle) f) (-5) can also be written as
g( f(x) )

the way you typed it:
f(-5) = 25+7 = 32
g(32) = 32 + 3/32
= 1027/32 which is none of the choices

if you meant:
g(x) = (x+3)/x
then g(32)
= 35/32 , which would be b)

What did you do to get a) ??
(g◦f)(-5)
= g(f(-5))
= g((-5)^2+7)
= g(32)
= (32+3)/32
= 35/32

or,

g(f) = (f+3)/f
= (x^2+7+3)/(x^2+7)
= (x^2+10)/(x^2+7)
so,
(g◦f)(-5) = (25+10)/(25+7) = 35/32
Similar Questions
  1. Let the equation of a circle be x^2+y^2-14x+8y+56a. Find the standard form of the circle b. Find the center of the circle c.
    1. answers icon 3 answers
    1. answers icon 1 answer
  2. HELP ME PLEASE.1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is
    1. answers icon 2 answers
  3. m<S=30, m(arc)RS=84,and RU is tangent to the circle at R find m<U.It's a circle with a triangle inscribed, only the s and r lie
    1. answers icon 40 answers
more similar questions