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If f(x)=4x-5 and g(x)=3^(x), then f(g(2)...

If `f(x)=4x-5 and g(x)=3^(x)`, then `f(g(2))`=

A

3

B

9

C

27

D

31

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find the value of \( f(g(2)) \) given the functions \( f(x) = 4x - 5 \) and \( g(x) = 3^x \). ### Step-by-Step Solution: 1. **Calculate \( g(2) \)**: \[ g(x) = 3^x \] Substitute \( x = 2 \): \[ g(2) = 3^2 = 9 \] 2. **Substitute \( g(2) \) into \( f(x) \)**: Now we need to find \( f(g(2)) \), which is \( f(9) \): \[ f(x) = 4x - 5 \] Substitute \( x = 9 \): \[ f(9) = 4 \times 9 - 5 \] 3. **Calculate \( f(9) \)**: \[ f(9) = 36 - 5 = 31 \] Thus, the final answer is: \[ f(g(2)) = 31 \]
To solve the problem, we need to find the value of \( f(g(2)) \) given the functions \( f(x) = 4x - 5 \) and \( g(x) = 3^x \). ### Step-by-Step Solution: 1. **Calculate \( g(2) \)**: \[ g(x) = 3^x \] ...
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