f(h(x))=6(2x)-7

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Solution for f(h(x))=6(2x)-7 equation: 


Simplifying
f(h(x)) = 6(2x) + -7

Multiply h * x
f(hx) = 6(2x) + -7

Multiply f * hx
fhx = 6(2x) + -7

Remove parenthesis around (2x)
fhx = 6 * 2x + -7

Multiply 6 * 2
fhx = 12x + -7

Reorder the terms:
fhx = -7 + 12x

Solving
fhx = -7 + 12x

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'hx'.
f = -7h-1x-1 + 12h-1

Simplifying
f = -7h-1x-1 + 12h-1

Reorder the terms:
f = 12h-1 + -7h-1x-1

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