Question

If f(x) = 10x - 3 and F(x) = 3/4 x + 2, Express
i. f(a)
ii. F(8a+1)
iii f(1/2a) + F(2a-4)

Answer 1

Answer:

GIven

f(x)=10x-3

F(x)=3/4 x+ 2

Step-by-step explanation:

1. f(a)= 10a-3
2. F(8a+1)= 3/4 (8a+1) + 2

=(24a+3)/4 +2

=((24a+3)+2*4) / 4

=(24a+3+8)/4

=(24a+11)/4

3. f(1/2a)+F(2a-4)= (10(1/2a)-3) + (3/4(2a-4)+2)

=(10*0.5a-3) + ((6a-12)/4)+2

=5a-3+(6a-12+2*4)/4

=5a-3+(6a-12+8)/4

=(4*5a-3*4+6a-4)/4

=(20a-12+6a-4)/4

=(26a-16)/4

=(13a-8)/2