Question

If(x) =x^2, g(x) =5x,h(x)=x+4 find: a) fog (1) b) g(h(-2) )

Answer 1

fog(1) = 25

g(h(-2)) = 10

Step-by-step explanation:

Given the following functions

f(x) =x^2,

g(x) =5x,

h(x)=x+4

We are to find;

i) fog(1)

fog = f(g(x))

f(g(x)) = f(5x)

f(5x) = (5x)²

f(5x) = 25x²

f(g(x)) = 25x²

f(g(1)) = 25(1)²

f(g(1)) = 25

Hence fog(1) is 25

ii) g(h(x))

= g(x+4)

g(x+4) = 5(x+4)

g(x+4) = 5x+20

g(h(x)) = 5x + 20

g(h(-2)) = 5(-2)+ 20

g(h(-2)) = -10 + 20

g(h(-2)) = 10