Given f(x) = 4x + 5f(x)=4x+5 and h(x) = sqrt(5x - 4)h(x)=5x4 how do you find (hf)(4)?

1 Answer
Jul 27, 2018

( hf)(4) =sqrt 101(hf)(4)=101

Explanation:

f(x)= 4 x+5 , h(x)= sqrt (5 x-4)f(x)=4x+5,h(x)=5x4

(hf)(x)=h(f(x)) = h ( 4 x +5) = sqrt ( 5(4 x+5)-4)(hf)(x)=h(f(x))=h(4x+5)=5(4x+5)4

(hf)(4) = sqrt ( 5(4*4+5)-4) = sqrt (105-4) =sqrt 101(hf)(4)=5(44+5)4=1054=101

:.( hf)(4) =sqrt 101 [Ans]