Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ ![\frac{2[g(x)]}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Bg%28x%29%5D%7D%7B2%7D)
= 
+ 
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
A= 3,2
B= -1,-1
C= 3,4
D= 1,4
Answer:
k=2/3
Step-by-step explanation:
Step 1:
Step 1 in solving the exponential equations is re-writing the base same as other side of the equation
so,
Step 2:
Second step is equating the exponents
The rule used is:
So in this case
So the solution is:
k=2/3 ..
Answer:
(x-8)(x-2)
Step-by-step explanation:
factors of 16:
1 x 16
2 x 8
4 x 4
i'll select 2 and 8 as values because they can add up to 10
(x-8)(x-2)
i made them both negative so the middle term would be -10 but, when multiplied, would equal positive 16
