Question

for a given input x, the function h outputs a value y to satisfy the following equation. 6x+1y=4x+11ywrite a formula for h(x) in terms of x.h(x)=

Answer 1

h(x) = 0.2x or x/5

Step-by-step explanation

We are given that the output values, y, of input values, x, in a function h(x) satisfy the equation:

6x + y = 4x + 11y

To write a formula for the function h(x) in terms of x, we simply have to find y.

This is because the value of a function is the same as the value of the output value (y).

Therefore:

6x + y = 4x + 11y

Collect like terms:

y - 11y = 4x - 6x

-10y = -2x

Divide through by -10:

y = (2/10)x = x/5

or

y = 0.2x

Since the value of y is the same as h(x):

=> h(x) = 0.2x or x/5

That is the formula for the function h(x).