A linear function is given:
a(x) = 26  12.4x â The function b is also linear. The equation a(x) = b(x) has exactly one solution at x = 5. Create a possible equation for function b.
Substitute 5, in for x, into a(x) = 26  12.4x
a(5) = 26  12.4(5) {substituted 5 for x} = 26  62 {multiplied} = 36 {subtracted} When 5 is substituted for x, into a(x), the result is 36. Therefore, creating any function b(x), where the (5,36) is a solution would suffice. 36x ââ = b(x) {created an equation where (5,36) will be a solution} 5 If 5 is substituted in for x, into b(x), the result is 36. Ask Algebra House
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