g(x) has unbalanced parentheses. I will assume you meant g(x) = √f(x) - 2
h(2) = f(g(2))
= f(√(f(2))-2)
= f(√(9)-2) = f(3-2) = f(1) = 7
f^-1(x) = (x+5)/2, so we need
2x-5 = (x+5)/2
4x-10 = x+5
3x = 15
x = 5
plug in x=5 for both functions to verify that it is correct.
1. Let
f(x)=2x+5
g(x)=sqrt(f(x) -2
h(x)= f(g(x))
What is h(2)?
2. Define the function f(x)=2x-5. For what value of x is f(x) equal to f^-1(x)? Thanks!
1 answer