If f(x)= 4x - 5 and g(x)= + 3x - 1,then f(g(x))=
A) + 4x + 5.
B) + 7x - 6.
C) 4 + 7 - 19x + 5.
D) 4 + 12x - 9.
E) 16 - 28x + 9.

Question

If f(x)= 4x - 5 and g(x)=  + 3x - 1,then f(g(x))=
A) + 4x + 5. 
B) + 7x - 6. 
C) 4 + 7 - 19x + 5. 
D) 4 + 12x - 9. 
E) 16 - 28x + 9.

Quizplus · Accepted Answer

To find f(g(x)), we replace x in f(x) with g(x):
f(g(x)) = 4g(x) - 5
Now we need to find g(x):
g(x) = 11ea83f6_62cc_6fb5_b5a5_0f7aa977c27a_TB6578_11_TB6578_11 + 3x - 1
Substituting g(x) into the expression for f(g(x)):
f(g(x)) = 4(11ea83f6_62cc_6fb5_b5a5_0f7aa977c27a_TB6578_11_TB6578_11 + 3x - 1) - 5
= 4(11ea83f6_62cc_96ca_b5a5_0f10211ba440_TB6578_11_TB6578_11) + 12x - 9
= 11ea83f6_62cc_96ca_b5a5_0f10211ba440_TB6578_11_TB6578_11 + 12x - 9
Therefore, the answer is D.

If F(x)= 4x - 5 and G(x)= + 3x