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

Determine the value of "a" for which g(h(a)) = 13-example-1
User Karl Giesing
by
5.1k points

1 Answer

13 votes

Answer:

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

User NarasimhaTejaJ
by
5.6k points
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