Question

Determine the value of "a" for which g(h(a)) = 13

Answer 1

a = 6

Explanation:

g(x) = 5x - 2

h(x) = √(x + 3)

g(h(x)) = 5
`√(x+3)` - 2

g(h(a)) = 5
`√(a+3)` - 2

5
`√(a+3)` - 2 = 13

5
`√(a+3)` = 15

`√(a+3)` = 3

(
`√(a+3)` )² = 3²

a + 3 = 9

a = 6