math
posted by Maxine on .
Given that g(x)= 2x+1/5 and f(x)=x+4
Calculate the value of g(2)
2(2)+1/5= 3/5
Is this right??
How do i write an expression for gf(x) in the simpliest form??
And how do i find inverse functions such as g`1(x)?

g(x) = 2x+1/5
Substitute 2 for x.
g(2) = 2*2 + 1/5
g(2) = 4 + 1/5
g(2) = (3 4/5) (mixed number)
To find g(f(x)), substitute f(x) for x in g.
g(f(x)) = g(x+4)
g(x+4) = 2(x+4) + 1/5
g(x+4) = 2x + 8 + 1/5
g(x+4) = 2x + (8 1/5) (mixed number)
To find inverse functions, switch the y and x.
convert g(x) = 2x+1/5 to y = 2x+1/5
Now switch y and x.
x = 2y+1/5
solve for y
x1/5 = 2y
x/2  1/10 = y
g'1(x) = x/2  1/10 
for the #1 how do u got 3 4/5 if u check good u got 3/5