Question

1. Jika fungsi f (x) = 3x - 1 dan g (x) = 2x² + 3. Tentukan nilai dari komposisi fungsi (g o f) (1)!

Answer 1

SOLUTION

GIVEN

f(x) = 3x - 1 and g (x) = 2x² + 3

TO DETERMINE

The value of

$\sf{g \circ f(1)}$

EVALUATION

Here it is given that

f(x) = 3x - 1 and g (x) = 2x² + 3

Now

$\sf{g \circ f(1)}$

$\sf{ = g ( f(1))}$

We have

f(x) = 3x - 1

⇒ f(1) = ( 3 × 1 ) - 1 = 3 - 1 = 2

Again

g(x) = 2x² + 3

$\sf{ \implies g(2) = 2 \times {2}^{2} + 3 = 8 + 3 = 11 }$

Therefore

$\sf{g \circ f(1)}$

$\sf{ = g ( f(1))}$

$\sf{ = g (2)}$

$= 11$

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