# How do you find #f(g(h(2)))# given #f(x)=2x-1# and #g(x)=3x# and #h(x)=x^2+1#?

##### 1 Answer

Aug 30, 2016

29

#### Explanation:

Start at the bit you can do...h(2)

h(x)=

h(2)=

Next g(x)=3x

Now we are looking at g(h(2)) but we know h(2) =5

g(5) =3*5=15

So g(h(2))=15

Next f(x) =2x-1

So similarly we are looking for f(15) =2*15=29