Two functions represent the composite function h(x) = (x – 1)³ + 10 so that h(x) = (g compose f)(x). Given f(x) = x + a and g(x) = x³ + b, what values of a and b would make the composition true? a = b =

a = -1 and

b = 10

Step-by-step explanation:

Given:

h(x) = (x – 1)³ + 10

h(x) = (g compose f)(x).

f(x) = x + a and

g(x) = x³ + b

To find:

The values of a and b = ?

Solution:

First of all, let us have a look at the composite functions.

(g compose f)(x) means we replace the value of with in the function .

We know that:

and

Let us find (g compose f)(x) by replacing with

Also, h(x) = (g compose f)(x) = (x – 1)³ + 10

Therefore,

Comparing the corresponding elements of the above expressions:

we get a = -1 and

b = 10

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation:

a

step-by-step explanation: