Home / Assignment Help / What is the inverse of the function f(x) = 2x – 10? h(x) = 2x – 5 h(x) = 2x + 5 h(x) = x – 5 h(x) = x + 5

What is the inverse of the function f(x) = 2x – 10? h(x) = 2x – 5 h(x) = 2x + 5 h(x) = x – 5 h(x) = x + 5

Posted in Mathematics

The answer, my friend, is not A, not B, so it has to be C or D. Which in this case it is C.


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Posted in Mathematics

How to solve f(x)=x^2+1, g(x)= 5x how to solve

(f + g)(x) = f(x) + g(x) = [3x + 2] + [4 – 5x] = 3x – 5x + 2 + 4 = –2x + 6(f – g)(x) = f(x) – g(x) = [3x + 2] – [4 – 5x] = 3x + 5x + 2 – 4 = 8x – 2(f×g)(x) = [f(x)][g(x)] = (3x + 2)(4 – 5x) = 12x + 8 – 15×2 – 10x–15×2 + 2x + 8

Posted in Mathematics

Find f(6) if f(x) = x2 ÷ 3 + x.

Answer:

The value of f(6) is, 18

Step-by-step explanation:

Given the function:

f(x) = x^2 div 3+ x               …..[1]

We have to find the value of f(6).

Put x = 6 in [1] we have;

f(6) = 6^2 div 3+ 6

f(6) = 36 div 3 +6

f(6) = frac{36}{3}+6

Simplify:

f(6) = 12 +6 = 18

Therefore, the value of f(6) is, 18

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Posted in Mathematics

If h(x) = −2x − 10, find h(−4). −2 −18 −3 −16

Answer:

The correct option is (a) i.e.

h(-4) = -2

Step-by-step explanation:

The mathematical expression is given as :

h(x)=-2x-10……(1)

Where

h(x) is dependent on x

We need to find the value of h(x) at x = -4 . Putting the value of x in equation (1) we get :

h(-4)=-2(-4)-10

h(-4)=8-10

h(-4) = -2

The value of h(-4) is -2. So, the correct option is (a). Hence, this is the required solution.

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Posted in Mathematics

What is the 22nd term in the arithmetic sequence in which a4 is 73 and a10 is -11?

 For A.P nth term’s formula is 
An=a1+(n-1)d 

5.) a4=31, a10=85 
put n=4 into general term (given above) 
a4=a1+(4-1)d 
31=a1+3d (putting values of a4) 
a1=31-3d ====> (1) 

Now put n=10 
a10=a1+(10-1)d 
85=31-3d+9d (putting values of a10, and a1) 
85=31+6d 
6d=85-31 
6d=54 
d=54/6 
d=9 

Now put the value of ‘d’ into eq (1) 

a1=31-3d 
a1=31-3(9) 
a1=31-27 
a1=4 

Thus the series will be 
a2=a1+d=4+9=13 
a3=a2+d=13+9=22 
and so on 

4,13,22,….. 

And the same process for your second question 


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